Question

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

Options

• \[A+(-A)=A\]

• \[A+(-A)=(-A)+A=0\]

• \[A+0=0+A=A\]

• \[A-A=A\]

Answer 1

The negative of a matrix has the additive inverse property. Adding \[A\] and \[-A\] gives the zero matrix: \[A+(-A)=0\].