List of top Engineering Mathematics Questions on Matrix Algebra asked in GATE Civil Engineering

Consider two matrices \(A=\begin{bmatrix} 2 & 1 & 4 \\ 1 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} -1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}\)
The determinant of the matrix AB is _____ (in integer).

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.
P : (A + B)^T = A^T + B^T
Q: (AB)^T = A^TB^T
Which one of the following options is CORRECT ?

The three-dimensional state of stress at a point is given by
\(\sigma =\begin{pmatrix} 10 & 0 & 0\\  0 & 40 & 0\\  0 & 0 & 0  \end{pmatrix} \)
The maximum shear stress at the point is