2009-11-13 | Example using orthogonal change-of-basis matrix to find transformation matrix | Khan Academy | 27:04 | 59,098 | |
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2009-11-12 | Projections onto subspaces with orthonormal bases | Linear Algebra | Khan Academy | 16:14 | 68,787 | |
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2009-11-12 | Finding projection onto subspace with orthonormal basis example | Linear Algebra | Khan Academy | 6:42 | 57,797 | |
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2009-11-12 | Coordinates with respect to orthonormal bases | Linear Algebra | Khan Academy | 15:28 | 93,142 | |
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2009-11-12 | Introduction to orthonormal bases | Linear Algebra | Khan Academy | 11:16 | 423,968 | |
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2009-11-12 | Changing coordinate systems to help find a transformation matrix | Linear Algebra | Khan Academy | 29:00 | 160,334 | Let's Play |
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2009-11-12 | Alternate basis transformation matrix example part 2 | Linear Algebra | Khan Academy | 12:36 | 53,432 | |
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2009-11-11 | Alternate basis transformation matrix example | Linear Algebra | Khan Academy | 13:20 | 110,544 | |
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2009-11-11 | Transformation matrix with respect to a basis | Linear Algebra | Khan Academy | 18:02 | 444,757 | |
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2009-11-11 | Invertible change of basis matrix | Linear Algebra | Khan Academy | 13:34 | 79,249 | |
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2009-11-11 | Change of basis matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy | 17:55 | 484,513 | |
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2009-11-11 | Coordinates with respect to a basis | Linear Algebra | Khan Academy | 16:08 | 306,903 | |
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2009-11-10 | Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy | 18:50 | 259,033 | |
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2009-11-10 | Another least squares example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy | 13:25 | 118,620 | |
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2009-11-10 | Least squares approximation | Linear Algebra | Khan Academy | 15:32 | 483,942 | |
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2009-11-10 | Projection is closest vector in subspace | Linear Algebra | Khan Academy | 9:05 | 47,165 | |
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2009-11-10 | Another example of a projection matrix | Linear Algebra | Khan Academy | 21:36 | 92,675 | |
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2009-11-10 | Subspace projection matrix example | Linear Algebra | Khan Academy | 13:04 | 106,850 | |
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2009-11-10 | A projection onto a subspace is a linear transformation | Linear Algebra | Khan Academy | 16:15 | 67,315 | |
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2009-11-10 | Visualizing a projection onto a plane | Linear Algebra | Khan Academy | 9:28 | 123,843 | |
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2009-11-10 | Projections onto subspaces | Linear Algebra | Khan Academy | 17:26 | 209,048 | |
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2009-11-09 | Showing that A-transpose x A is invertible | Matrix transformations | Linear Algebra | Khan Academy | 12:34 | 72,980 | Show |
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2009-11-09 | Rowspace solution to Ax = b example | Linear Algebra | Khan Academy | 19:38 | 49,971 | |
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2009-11-09 | Unique rowspace solution to Ax = b | Linear Algebra | Khan Academy | 19:12 | 43,934 | |
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2009-11-09 | Orthogonal complement of the orthogonal complement | Linear Algebra | Khan Academy | 12:18 | 52,978 | |
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2009-11-09 | Orthogonal complement of the nullspace | Linear Algebra | Khan Academy | 3:27 | 56,073 | |
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2009-11-08 | Representing vectors in rn using subspace members | Linear Algebra | Khan Academy | 27:00 | 48,290 | |
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2009-11-08 | Slope and Y-intercept Intuition | 5:54 | 346,652 | |
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2009-11-08 | Basic Graphing and Coordinates | 12:03 | 17,859 | |
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2009-11-08 | Area of a circle | 6:45 | 339,028 | |
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2009-11-08 | Circles: radius, diameter, circumference and Pi | Geometry | Khan Academy | 11:05 | 2,497,797 | |
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2009-11-08 | Area and Perimeter | 12:20 | 488,319 | |
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2009-11-07 | dim(v) + dim(orthogonal complement of v) = n | Linear Algebra | Khan Academy | 9:27 | 74,822 | |
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2009-11-07 | rank(a) = rank(transpose of a) | Matrix transformations | Linear Algebra | Khan Academy | 11:14 | 119,525 | |
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2009-11-06 | Orthogonal complements | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy | 22:08 | 298,015 | |
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2009-11-06 | Visualizations of left nullspace and rowspace | Linear Algebra | Khan Academy | 19:50 | 41,665 | |
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2009-11-06 | Rowspace and left nullspace | Matrix transformations | Linear Algebra | Khan Academy | 23:19 | 132,237 | |
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2009-11-05 | Alternate Solution to Ratio Problem (HD Version) | 7:02 | 79,887 | |
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2009-11-05 | More advanced ratio problem--with Algebra (HD version) | 9:58 | 166,481 | |
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2009-11-05 | Ratio problem with basic algebra | Linear equations and inequalities | Algebra Basics | Khan Academy | 5:12 | 386,370 | |
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2009-11-05 | Introduction to ratios | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy | 14:13 | 2,293,734 | |
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2009-11-05 | Transpose of a vector | Matrix transformations | Linear Algebra | Khan Academy | 12:06 | 76,165 | |
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2009-11-05 | Transposes of sums and inverses | Matrix transformations | Linear Algebra | Khan Academy | 8:40 | 40,385 | |
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2009-11-05 | Determinant of transpose | Matrix transformations | Linear Algebra | Khan Academy | 14:10 | 92,804 | |
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2009-11-04 | Transpose of a matrix product | Matrix transformations | Linear Algebra | Khan Academy | 8:50 | 78,584 | |
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2009-11-04 | Transpose of a matrix | Matrix transformations | Linear Algebra | Khan Academy | 8:37 | 283,459 | |
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2009-11-04 | Determinant as scaling factor | Matrix transformations | Linear Algebra | Khan Academy | 20:10 | 61,604 | |
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2009-11-04 | Determinant and area of a parallelogram | Matrix transformations | Linear Algebra | Khan Academy | 21:37 | 123,586 | Vlog |
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2009-11-04 | Simpler 4x4 determinant | Matrix transformations | Linear Algebra | Khan Academy | 9:13 | 819,039 | |
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2009-11-03 | Upper triangular determinant | Matrix transformations | Linear Algebra | Khan Academy | 8:07 | 194,513 | |
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2009-11-03 | Determinant after row operations | Matrix transformations | Linear Algebra | Khan Academy | 10:25 | 79,834 | |
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2009-11-03 | Duplicate row determinant | Matrix transformations | Linear Algebra | Khan Academy | 8:19 | 37,233 | |
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2009-11-03 | Determinant when row is added | Matrix transformations | Linear Algebra | Khan Academy | 16:55 | 46,432 | |
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2009-11-03 | (correction) scalar multiplication of row | Matrix transformations | Linear Algebra | Khan Academy | 2:52 | 34,505 | |
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2009-11-03 | Determinant when row multiplied by scalar | Matrix transformations | Linear Algebra | Khan Academy | 13:20 | 78,750 | |
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2009-11-03 | Scientific notation examples | Pre-Algebra | Khan Academy | 12:49 | 467,257 | |
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2009-11-02 | Rule of Sarrus of determinants | Matrix transformations | Linear Algebra | Khan Academy | 7:18 | 109,862 | |
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2009-11-02 | Determinants along other rows/cols | Matrix transformations | Linear Algebra | Khan Academy | 9:03 | 87,767 | |
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2009-11-02 | n x n determinant | Matrix transformations | Linear Algebra | Khan Academy | 18:40 | 382,980 | |
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2009-11-02 | 3 x 3 determinant | Matrix transformations | Linear Algebra | Khan Academy | 10:01 | 451,796 | |
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2009-11-02 | Introduction to scientific notation | Pre-Algebra | Khan Academy | 20:48 | 796,118 | |
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2009-11-02 | Formula for 2x2 inverse | Matrix transformations | Linear Algebra | Khan Academy | 18:20 | 102,640 | |
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2009-11-02 | Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy | 15:43 | 1,720,941 | |
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2009-11-02 | The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy | 11:05 | 742,871 | |
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2009-11-02 | Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy | 8:28 | 997,069 | |
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2009-10-31 | Example of finding matrix inverse | Matrix transformations | Linear Algebra | Khan Academy | 6:22 | 193,884 | |
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2009-10-31 | Deriving a method for determining inverses | Matrix transformations | Linear Algebra | Khan Academy | 18:00 | 105,102 | |
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2009-10-31 | Showing that inverses are linear | Matrix transformations | Linear Algebra | Khan Academy | 21:24 | 37,838 | Show |
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2009-10-30 | Simplifying conditions for invertibility | Matrix transformations | Linear Algebra | Khan Academy | 6:37 | 54,921 | |
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2009-10-30 | Matrix condition for one-to-one trans | Matrix transformations | Linear Algebra | Khan Academy | 19:59 | 97,730 | |
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2009-10-30 | Exploring the solution set of Ax = b | Matrix transformations | Linear Algebra | Khan Academy | 16:34 | 213,619 | |
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2009-10-30 | Simple Analysis of Cost per Job Saved from Stimulus | 3:10 | 43,264 | |
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2009-10-29 | Determining whether a transformation is onto | Linear Algebra | Khan Academy | 25:51 | 171,708 | |
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2009-10-29 | Relating invertibility to being onto and one-to-one | Linear Algebra | Khan Academy | 6:31 | 98,228 | |
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2009-10-29 | Surjective (onto) and injective (one-to-one) functions | Linear Algebra | Khan Academy | 9:32 | 827,844 | |
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2009-10-28 | Proof: Invertibility implies a unique solution to f(x)=y | Linear Algebra | Khan Academy | 22:41 | 71,664 | |
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2009-10-28 | Introduction to the inverse of a function | Matrix transformations | Linear Algebra | Khan Academy | 18:53 | 181,589 | |
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2009-10-28 | Distributive property of matrix products | Matrix transformations | Linear Algebra | Khan Academy | 9:52 | 45,650 | |
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2009-10-28 | Matrix product associativity | Matrix transformations | Linear Algebra | Khan Academy | 11:59 | 39,132 | |
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2009-10-28 | Matrix product examples | Matrix transformations | Linear Algebra | Khan Academy | 18:14 | 102,844 | |
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2009-10-27 | Compositions of linear transformations 2 | Matrix transformations | Linear Algebra | Khan Academy | 16:31 | 71,815 | |
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2009-10-27 | Compositions of linear transformations 1 | Matrix transformations | Linear Algebra | Khan Academy | 12:21 | 151,957 | |
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2009-10-26 | FRB Commentary 3: Big Picture | 21:27 | 49,376 | |
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2009-10-26 | FRB Commentary 2: Deposit Insurance | 17:19 | 46,467 | |
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2009-10-26 | Fractional Reserve Banking Commentary 1 | 19:13 | 86,763 | |
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2009-10-26 | Expressing a projection on to a line as a matrix vector prod | Linear Algebra | Khan Academy | 16:41 | 145,772 | |
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2009-10-26 | Introduction to projections | Matrix transformations | Linear Algebra | Khan Academy | 14:37 | 463,795 | |
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2009-10-26 | Unit vectors | Matrix transformations | Linear Algebra | Khan Academy | 6:59 | 179,432 | |
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2009-10-26 | Rotation in R3 around the x-axis | Matrix transformations | Linear Algebra | Khan Academy | 12:18 | 224,472 | |
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2009-10-23 | Linear transformation examples: Rotations in R2 | Linear Algebra | Khan Academy | 17:52 | 274,525 | |
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2009-10-23 | Linear transformation examples: Scaling and reflections | Linear Algebra | Khan Academy | 15:13 | 239,036 | |
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2009-10-23 | More on matrix addition and scalar multiplication | Linear Algebra | Khan Academy | 10:41 | 67,606 | |
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2009-10-23 | Sums and scalar multiples of linear transformations | Linear Algebra | Khan Academy | 15:09 | 68,601 | |
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2009-10-22 | Preimage and kernel example | Matrix transformations | Linear Algebra | Khan Academy | 15:23 | 227,541 | |
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2009-10-22 | Preimage of a set | Matrix transformations | Linear Algebra | Khan Academy | 5:23 | 125,725 | |
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2009-10-22 | (2^ln x)/x Antiderivative Example | 8:40 | 212,244 | |
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2009-10-22 | im(T): Image of a transformation | Matrix transformations | Linear Algebra | Khan Academy | 16:37 | 253,283 | |
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2009-10-22 | Image of a subset under a transformation | Matrix transformations | Linear Algebra | Khan Academy | 18:11 | 144,260 | |
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2009-10-20 | Linear transformations as matrix vector products | Linear Algebra | Khan Academy | 17:32 | 437,590 | |
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2009-10-20 | Matrix vector products as linear transformations | Linear Algebra | Khan Academy | 17:04 | 266,447 | |
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