Question

For matrices \[A=[a_{ij}]\] and \[B=[b_{ij}]\] of the same order \[m\times n\], what is the order of \[C=A+B\]?

Options

• \[mn\times mn\]

• \[m\times n\]

• \[n\times m\]

• \[m+n\]

Answer 1

When two matrices of order \[m\times n\] are added, corresponding entries are combined. Therefore, \[C=A+B\] is also a matrix of order \[m\times n\].