IITM BS Question 11 - Week 6 Practice

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IITM BS Question 11 - Week 6 Practice | Prasnya

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Q11Comprehension1 Mark22 Dec 2024

Passage

Let

T: \mathbb{R}^3 \to \mathbb{R}^3

be a linear transformation and

A = \begin{bmatrix} 2 & 1 & 1 \\ 3 & 0 & 3 \\ 1 & -1 & 2 \end{bmatrix}

is the matrix representation of

T

with respect to the standard ordered basis for both the domain and the codomain. Based on this information, answer the given subquestions:

If B is the matrix representation of T with respect to the ordered basis {(1, 2, 0),

(0, -1, 3)

, (2, 3, 1)} for both the domain and the codomain, find the rank of B.

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Q11

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22 Dec 2024

Mathematics 2 · Week 6

Q11.If B is the matrix representation of T with respect to the ordered basis {(1, 2, 0),

(0, -1, 3)

, (2, 3, 1)} for both the domain and the codomain, find the rank of B.@passage

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