Question

$\text{Statement 1:}$ Unit matrix is also called as scalar matrix
$\text{Statement 2:}$ Scalar matrix is also called as unit matrix.
Then which of the following option(s) is true

• A. Statement $1$
• B. Statement $2$
• C. Both
• D. Neither

Answer 1

The correct option is A Statement $1$

A square matrix $A=\left[a_{ij}\right]$ is scalar matrix if $a_{ij}=0,\forall i\ne j$ and $a_{ij}=k,\forall i=j$ where k is a non zero element.
Unit matrix is a special case of scalar matrix.
Hence, Statement $1$ is true.