| 2024-06-28 | If AB=BA for any two sqaure matrices, prove by mathematical induction that (AB)n=AnBn..... |
| 2024-06-28 | Find x,y,z if A=02yzxy-zx-yz satisfiesA'=A-1..... |
| 2024-06-28 | If A=cosαsinα-sinαcosα, and A-1=A', find value of α..... |
| 2024-06-28 | If A=15712 and B=9178, find a matrix C such that 3A+5B+2C is a null matrix..... |
| 2024-06-28 | Let \(A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\) and \(B=\left[\begin{a.... |
| 2024-06-28 | If A=3-5-42, then find A2-5A-14I. Hence, obtain A3..... |
| 2024-06-28 | Verify that A2=I when A=01-14-343-34..... |
| 2024-06-28 | If A=cosθsinθ-sinθcosθ, then show thatA2=cos2θsin2θ-sin2&the.... |
| 2024-06-28 | If a matrix has 28 elements, what are the possible orders it can have? What if it has 13 element.... |
| 2024-06-28 | If A=1111 and n∈N, then An is equal to .... |
| 2024-06-28 | If A is an orthogonal matrix, then A-1 equals .... |
| 2024-06-28 | Let \(\alpha, \beta, \gamma\) be the roots of the cubic \(x^3+a x^2+b x+c=0\), which (taken in g.... |
| 2024-06-28 | For α, β, γ, θ ∈ R. Let
\(A_\theta(\alpha, \beta, \gamma)=\lef.... |
| 2024-06-28 | For α, β, γ, θ ∈ R. Let
\(A_\theta(\alpha, \beta, \gamma)=\lef.... |
| 2024-06-28 | If \(\alpha, \beta\) are the, maximum and minimum values of\[f(x)=\left|\begin{array}{ccc}1+\sin.... |
| 2024-06-28 | If \(A\) and \(B\) are square matrix of order 3 given by\[A=\left[\begin{array}{lll}1 & 2 &a.... |
| 2024-06-28 | If \(a, b, c\) are non-zeros, then the system of equations\[\begin{aligned}& (\alpha+a) x+\a.... |
| 2024-06-28 | If \(A\) and \(B\) are square matrix of order 3 given by\[A=\left[\begin{array}{lll}1 & 2 &a.... |
| 2024-06-28 | Evaluate \(\left|\begin{array}{ccc}x & y & x+y \\ y & x+y & x \\ x+y & x &am.... |
| 2024-06-28 | Find the maximum value of\[\left|\begin{array}{ccc}1 & 1 & 1 \\1 & 1+\sin \theta &am.... |
| 2024-06-28 | Find minors and cofactors of the elements \(a_{11}, a_{21}\) in the determinant \(\Delta=\left|\.... |
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