List of top Mathematics Questions on Matrix Operations asked in Bihar Board XII

Multiply the matrices: \[ \left[ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right] \left[ \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right] \]

Find the product of the matrices: \[ \left[ \begin{matrix} 6 & 5 \end{matrix} \right] \left[ \begin{matrix} -1 \\ 1 \end{matrix} \right] \] 

Multiply the matrices: \[ \left[ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right] \left[ \begin{matrix} 4 & 0 \\ 0 & 4 \end{matrix} \right] \]
Multiply the matrices: \[ \left[ \begin{matrix} 2 & 5 \\ 3 & 7 \end{matrix} \right] \left[ \begin{matrix} 2 & 5 \end{matrix} \right] \] \\
Find the product of the matrices: \[ \left[ \begin{matrix} 3 & -2 \\ -1 & -1 \end{matrix} \right] \]
Multiply the matrix: \[ \left[ \begin{matrix} 4 & -2 \\ \end{matrix} \right] \] \[ \left[ \begin{matrix} -1 \\ -1 \end{matrix} \right] \]
Multiply the matrices: \[ \left[ \begin{matrix} 5 & 1 & 2 \\ 3 & 4 \end{matrix} \right] \]
Find the product of the matrices: \[ \left[ \begin{matrix} 5 & -1 \\ 6 & -7 \end{matrix} \right] \times \left[ \begin{matrix} 2 & 1 \\ 3 & 4 \end{matrix} \right] \]
Evaluate the following matrix multiplication: \[ 5 \times \begin{pmatrix} 5 & 7 \\ 6 & 8 \end{pmatrix} \]
\([\,2a-7\ \ \ 1\,]=[\,a\ \ \ b-1\,]\Rightarrow (a,b)=\ ?\)
Compute \(\begin{bmatrix}1&0 \\ 0&1\end{bmatrix}\begin{bmatrix}2&-3 \\ 0&4\end{bmatrix}=\) ?
Compute \([\,6\ \ 5\,]\begin{bmatrix}1 \\ -1\end{bmatrix}=\) ?
\([\,{-}1\,]\,[\,1\ \ {-}1\,]=\ \ ?\)
\(\begin{bmatrix}2&3 \\ 5&7\end{bmatrix}\!\begin{bmatrix}2 \\ 5\end{bmatrix}=\ \ ?\)
\(\begin{bmatrix}13&15 \\ -1&4\end{bmatrix}\begin{bmatrix}2&0 \\ 0&2\end{bmatrix}=\ \ ?\)

\(3\!\begin{bmatrix}7&-2 \\ 8&0\end{bmatrix}=\ \ ?\)

If \(A=\begin{bmatrix}1&0 \\ 0&1\end{bmatrix}\), then the value of \(A^{25}\) is