The matrix \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\) is a

Question

Question

Answer 1

Concept:

A square matrix A = [a_ij]_{n × n} is said to be symmetric if A^T = A

A^T (Transpose) is obtained by changing rows to columns and columns to rows

Calculation:

Let A = \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\)

A^T = \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\)= A

A is a symmetric matrix