Question

What do rectangular matrices possess with respect to inverses?

Options

• Rectangular matrices satisfy \[AA^{-1}=A^{-1}A=I\].

• Rectangular matrices possess unique inverses.

• Rectangular matrices possess identity matrices of the same order.

• Rectangular matrices do not possess inverses.

Answer 1

An inverse matrix requires a square matrix and an identity matrix of the same order. Therefore, rectangular matrices do not have inverses.