Caelan

2021-01-19

Show that mapping $y\mapsto ref{l}_{L}y$ is a linear transformation.

tabuordg

Skilled2021-01-20Added 99 answers

Given information:

For y in

Calculation:

Consider

Substitute

Apply Theorem 1 (b) as shown below.

Let u, v, and w be vectors in

For any vectors y and z in

Substitute

Therefore, the mapping

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