IITM BS Question 20 - Week 6 Practice

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IITM BS Question 20 - Week 6 Practice | Prasnya

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Q20Comprehension1 Mark24 Dec 2023

Passage

Suppose

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

is an isomorphism. Let

A

be the matrix representation of

T

with respect to the standard ordered basis

B = \{e_1, e_2, e_3\}

for both domain and co-domain, and

B'

be the matrix representation of

T

with respect to the basis

B' = \{e_1, e_1 - e_2, e_2 - e_3\}

for both domain and co-domain. Based on the above data, answer the given subquestions.

Find

\operatorname{Rank}(A)

Your answer

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Q20

00:00

24 Dec 2023

Mathematics 2 · Week 6

Q20.Find

\operatorname{Rank}(A)

.@passage

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