Formula for 2x2 inverse | Matrix transformations | Linear Algebra | Khan Academy

Channel:
Subscribers:
8,980,000
Published on ● Video Link: https://www.youtube.com/watch?v=eEUK_ThrHuQ



Duration: 18:20
102,640 views
189


Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/matrix-transformations/inverse-of-matrices/v/linear-algebra-formula-for-2x2-inverse

Figuring out the formula for a 2x2 matrix. Defining the determinant.

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-3x3-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-example-of-finding-matrix-inverse?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy




Other Videos By Khan Academy


2009-11-03Duplicate row determinant | Matrix transformations | Linear Algebra | Khan Academy
2009-11-03Determinant when row is added | Matrix transformations | Linear Algebra | Khan Academy
2009-11-03(correction) scalar multiplication of row | Matrix transformations | Linear Algebra | Khan Academy
2009-11-03Determinant when row multiplied by scalar | Matrix transformations | Linear Algebra | Khan Academy
2009-11-02Scientific notation examples | Pre-Algebra | Khan Academy
2009-11-02Rule of Sarrus of determinants | Matrix transformations | Linear Algebra | Khan Academy
2009-11-02Determinants along other rows/cols | Matrix transformations | Linear Algebra | Khan Academy
2009-11-02n x n determinant | Matrix transformations | Linear Algebra | Khan Academy
2009-11-023 x 3 determinant | Matrix transformations | Linear Algebra | Khan Academy
2009-11-02Introduction to scientific notation | Pre-Algebra | Khan Academy
2009-11-02Formula for 2x2 inverse | Matrix transformations | Linear Algebra | Khan Academy
2009-11-02Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy
2009-11-02The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy
2009-11-02Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy
2009-10-31Example of finding matrix inverse | Matrix transformations | Linear Algebra | Khan Academy
2009-10-31Deriving a method for determining inverses | Matrix transformations | Linear Algebra | Khan Academy
2009-10-30Showing that inverses are linear | Matrix transformations | Linear Algebra | Khan Academy
2009-10-30Simplifying conditions for invertibility | Matrix transformations | Linear Algebra | Khan Academy
2009-10-30Matrix condition for one-to-one trans | Matrix transformations | Linear Algebra | Khan Academy
2009-10-30Exploring the solution set of Ax = b | Matrix transformations | Linear Algebra | Khan Academy
2009-10-30Simple Analysis of Cost per Job Saved from Stimulus