IITM BS Question 26 - Week 8 Practice

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IITM BS Question 26 - Week 8 Practice | Prasnya

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Q26Comprehension4 Marks30 Apr 2023

Passage

Consider the subspace W = {

(x, y, z)

| x - y + z = 0, x, y, z in R } of

\mathbb{R}^3

. Answer the given subquestions based on the given information.

\gamma

is the orthonormal basis of W obtained from

\beta

(from the previous question) by using the Gram-Schmidt process with respect to the usual inner product, and

(a, b, c)

is the projection of

(1, 0, 1)

onto W, then what is 6(a + b + c)?

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Q26

00:00

30 Apr 2023

Mathematics 2 · Week 8

Q26.If

\gamma

is the orthonormal basis of W obtained from

\beta

(from the previous question) by using the Gram-Schmidt process with respect to the usual inner product, and

(a, b, c)

is the projection of

(1, 0, 1)

onto W, then what is 6(a + b + c)?@passage

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