Question

Which equation expresses the additive identity property for a matrix \[A\]?

Options

• \[A+A=0\]

• \[A+0=0+A=A\]

• \[A-0=0\]

• \[A+(-A)=A\]

Answer 1

The zero matrix is the additive identity because adding it changes no entry of \[A\]. Therefore, \[A+0=0+A=A\].