Question

Which pair of conditions defines a scalar matrix?

Options

• \[m=1\] and \[n=1\]

• \[b_{ij}=1\] when \[i\ne j\] and \[b_{ij}=0\] when \[i=j\]

• \[a_{ij}=0\] for every \[i\] and \[j\]

• \[b_{ij}=0\] when \[i\ne j\] and \[b_{ij}=k\] when \[i=j\]

Answer 1

In a scalar matrix, every non-diagonal entry is zero. Each diagonal entry equals the same constant \[k\].