MCQ_SINGLE

If $A=[a_{ij}]$ is a $2\times 2$ matrix whose elements are given by $a_{ij}=\frac{|i-3j|}{2}$, then $A^{\prime}$ is:

MCQ_SINGLE

A matrix B = $[b_{ij}]_{m \times m}$ is said to be a diagonal matrix, if :

LA

Given $A=\begin{bmatrix}-4&4&4\\ -7&1&3\\ 5&-3&-1\end{bmatrix}$ and $B=\begin{bmatrix}1&-1&1\\ 1&-2&-2\\ 2&1&3\end{bmatrix}$, find AB. Hence, solve the system of linear equations: $x-y+z=4$, $x-2y-2z=9$, $2x+y+3z=1$.

MCQ_SINGLE

The value $|\begin{bmatrix}x+y & y+z & z+x\\ z & x & y\\ 1 & 1 & 1\end{bmatrix}|$ 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?

View All Questions