Question

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

• A. $b_{i j}=0$ for $i \neq j$ and $b_{i j}=k$ for $i=j$, for some constant $k$
• B. $b_{i j}=0$ for $i=j$
• C. $b_{i j} \neq 0$ for $i=j$ and $b_{i j}=0$ 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 $i \neq j$
$b_{i j}^{y}=k$ when $i=j$, for some constant $k$