Exercise 3.1.4

Answers

The zero vector in matrix space $M$ is

0_{M} = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}];

We have

\frac{1}{2} A = [\begin{matrix} 1 & - 1 \\ 1 & - 1 \end{matrix}]

and

- A = [\begin{matrix} - 2 & 2 \\ - 2 & 2 \end{matrix}] .

The smallest subspace of $M$ containing the matrix $A$ consists of all matrices $cA$ .

mathchakra

2022-01-16 13:17