Question

If \[A\] and \[B\] are matrices of the same order, which statement illustrates closure under addition?

Options

• \[A+B\] is always a square matrix.

• \[A+B\] is also a matrix of the same order.

• \[A+B\] has order \[n\times m\].

• \[A+B\] is always the zero matrix.

Answer 1

Closure means that performing addition on matrices of the same order produces another matrix. The resulting matrix \[A+B\] retains that same order.