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Linear Algebra

Exercise 6.1.8

Answers

1.

The inner product of a nonzero vector

(1, 1)

and itself is

1 - 1 = 0

.

2.

Let

A = B = I_{2}

. We have

⟨ 2 A, B ⟩ = 3 \neq 2 ⟨ A, B ⟩ = 4 .

3.

The inner product of a nonzero function

f (x) = 1

and itself is

\int_{0}^{1} 0 \cdot 1 dx = 0 .

jephianlin

2011-06-27 00:00

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