Math, asked by navi993500, 7 months ago

Give the condition for A linear operator T: v- v to be orthogonal.
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Answers

Answered by sidhupari
4

Step-by-step explanation:

A linear operator T : V → V is orthogonal if

〈T(u), T(v)〉 = 〈u, v〉 for all u, v ∈ V .

Theorem.

For a linear operator T : V → V , the. following are equivalent:

(a) T is orthogonal;

(b) T preserves all lengths and angles;

(c) ||T(v)|| = ||v|| for any v ∈ V .

Answered by rumi1zafri
0

Answer:

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