Question

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

• A. $b_{ij}=0$ for $i\ne j$ and $b_{ij}=k$ for $i=j$, for some constant $k$
• B. $b_{ij}=0$ for $i=j$
• C. $b_{ij}\ne 0$ for $i=j$ and $b_{ij}=0$ for $i=j$
• D. None of the above

Answer 1

Answer: (A)

A square matrix $B={\left[b_{ij}\right]}_{n\times n}$ is said to be a scalar matrix, if
$b_{ij}=0$ when $i\ne j$
$b_{ij}^y=k$ when $i=j$, for some constant $k$