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Linear Algebra

Exercise 2.3.7

Answers

Just check that for all vector $v \in 𝔽^{n}$ we have $L_{A + B} (v) = (A + B) v = Av + Bv = L_{A} (v) + L_{B} (v)$ and $L_{aA} (v) = aA (v) = a L_{A} (v)$ .
For all vector $v \in 𝔽^{n}$ we have $L_{I_{n}} (v) = I_{n} (v) = v$ .

jephianlin

2011-06-27 00:00

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