LA

If $A=\begin{bmatrix}1 & 0 & 2\\ 0 & 2 & 1\\ 2 & 0 & 3\end{bmatrix}$, then show that $A^{3}-6A^{2}+7A+2I=O$

MCQ_SINGLE

If \[ A = \begin{pmatrix} 7 & 0 & x \\ 0 & 7 & 0 \\ 0 & 0 & y \end{pmatrix} \] is a scalar matrix, then \(y^x\) is equal to

MCQ_SINGLE

If A and B are two skew symmetric matrices, then \((AB+BA)\) is :

MCQ_SINGLE

If A and B are square matrices of order m such that \(A^{2}-B^{2}=(A-B)(A+B),\) then which of the following is always correct?

MCQ_SINGLE

Let both \(AB^{\prime}\) and \(B^{\prime}A\) be defined for matrices A and B. If order of A is \(n\times m\), then the order of B is:

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