IITM BS Question 27 - Week 4 Practice

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IITM BS Question 27 - Week 4 Practice | Prasnya

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Q27Comprehension2 Marks7 Aug 2022

Passage

Consider the matrix A =

\begin{bmatrix} x & -1 & 2 \\ y & 1 & 2 \\ z & 3 & 4 \end{bmatrix}

Answer the given subquestions:

Let W be a subspace of

\mathbb{R}^3

(with inner product as the dot product) such that W = {

(x, y, z)

\text{det}(A)

= 0 }. If

\beta

is an orthonormal basis of W, then find the cardinality of the set

\beta

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Q27

00:00

7 Aug 2022

Mathematics 2 · Week 4

Q27.Let W be a subspace of

\mathbb{R}^3

(with inner product as the dot product) such that W = {

(x, y, z)

\text{det}(A)

= 0 }. If

\beta

is an orthonormal basis of W, then find the cardinality of the set

\beta

.@passage

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