Question

How is the negative of a matrix \[A\], denoted by \[-A\], defined?

Options

• \[-A=0\cdot A\]

• \[-A=1\cdot A\]

• \[-A=A+A\]

• \[-A=(-1)A\]

Answer 1

The negative of a matrix is the scalar multiple of the matrix by \[-1\]. Hence, \[-A=(-1)A\].