Out of the following matrices, choose that matrix which is a scalar matrix: a) `[(0 ,0),( 0, 0)]` (b) `[(0, 0, 0),( 0 ,0, 0)]` (c) `[(0, 0),( 0, 0),( 0 ,0)]` (d) `[(0),(0),( 0) ]`

Explanation

Any matrix `A=[a_(ij)]_(nxxn)` is scalar matrix if `[a_(ij)]=0` ,when`i!=j`

And `[a_(ij)]=k`,when`i=j`

Now as we know null matrix is (nxxn) matrix then

`[a_(ij)]=0` ,when`i!=j`

`[a_(ij)]=k=0`,when`i=j`

`implies [(0,0),(0,0)]`

Hence correct option is (a).