Question

What is the result of adding a matrix to its negative?

Options

• \[A+(-A)=-A\].

• \[A+(-A)=A\].

• \[A+(-A)=1\cdot A\].

• \[A+(-A)=O\], where \[O\] is the zero matrix of the same order as \[A\].

Answer 1

A matrix and its negative have entries that are additive inverses. Their sum is \[O\], the zero matrix of the same order as \[A\].