MCQ_SINGLE

If M and N are square matrices of order 3 such that det \((M)=m\) and \(MN=mI,\) then det (N) is equal to:

SA

If $A=\begin{bmatrix}3&2&0\\1&4&0\\0&0&5\end{bmatrix}$, then compute $A^{2}-7A+10~I$.

MCQ_SINGLE

If A=[(1, 0), (2, 1)], B=[(x, 0), (1, 1)] and A=B², then x equals

LA

If $A=\begin{bmatrix}3 & 2\\ 5 & -7\end{bmatrix}$, then find $A^{-1}$ and use it to solve the following system of equations : $3x+5y=11, 2x-7y=-3$.

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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