IITM BS Question 38 - Week 6 Practice

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IITM BS Question 38 - Week 6 Practice | Prasnya

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Q38Comprehension1 Mark7 Aug 2022

Passage

Consider V =

\mathbb{R}^3

with the inner product as the dot product and W = {

(x, y, z)

| x = 0, y = z } is a subspace of V. Let P_W : V -> W be a projection on W. Answer the given subquestions:

Let A be the matrix representation of P_W with respect to some orthonormal bases

\beta

and

\gamma

for V and W, respectively. Then find the dimension of the null space A^T A.

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Q38

00:00

7 Aug 2022

Mathematics 2 · Week 6

Q38.Let A be the matrix representation of P_W with respect to some orthonormal bases

\beta

and

\gamma

for V and W, respectively. Then find the dimension of the null space A^T A.@passage

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