Question

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

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

Answer 1

Answer: (C)

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