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

Let \(y\) be a non-zero vector of size \(2022 \times 1\). Which of the following statement(s) is/are TRUE?

P and Q are two square matrices of the same order. Which of the following statement(s) is/are correct?

The components of pure shear strain in a sheared material are given in the matrix form:
\[ \epsilon = \begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix} \] Here, \(\text{Trace}(\epsilon) = 0\). Given, P = \text{Trace}(\epsilon^8) and Q = \text{Trace}(\epsilon^{11}). \text{The numerical value of} (P + Q) \text{ is} _________ \text{. (in integer)}.