Question

A square matrix $B=\left[b_{i j}\right]_{m \times m}$ is said to be a diagonal matrix, if

• A. all its non-diagonal elements are non-zero i.e., $b_{j i} \neq 0$; $i \neq j$
• B. all ils diagonal elements are Lero i.e., $b_{i i}=0, i=j$
• C. all its non-diagonal elements are zero i.e., $b_{i j}=0$ when $i \neq j$
• D. None of the above

Answer 1

Answer: (C)

A square matrix $B=\left[b_{i j}\right]_{m \times m}$ is said to be a diagonal matrix, if all its non-diagonal elements are zero, that is a matrix $B=\left[b_{i j}\right]_{m \times m}$ is said to be a diagonal matrix, if $b_{i j}=0$, when $i \neq j$.