Question

Which statement correctly uses the zero matrix \[O\] as the additive identity?

Options

• \[A+(-A)=A\]

• \[A+O=A\]

• \[A+O=O\]

• \[A-O=O\]

Answer 1

The zero matrix \[O\] has zero in every corresponding entry. Therefore, adding \[O\] leaves every entry of \[A\] unchanged, so \[A+O=A\].