IITM BS Question 24 - Week 7 Practice

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IITM BS Question 24 - Week 7 Practice | Prasnya

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Q24Comprehension1 Mark3 Sep 2023

Passage

Let

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

and

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

be the matrix corresponding to the linear transformation

T

with respect to the bases

\beta = \{(1, 0, 0), (0, 1, 0), (0, 0, 1)\}

and

\gamma = \{(1, 1, 0), (0, 1, 1), (1, 0, 1)\}

. Using the above information answer the given subquestions.

Let B be the matrix corresponding to the linear transformation T with respect to the basis {(1, 0, 0),

(0, 1, 0)

, (0, 0, 1)} for both domain and codomain. The trace of B is

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Q24

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3 Sep 2023

Mathematics 2 · Week 7

Q24.Let B be the matrix corresponding to the linear transformation T with respect to the basis {(1, 0, 0),

(0, 1, 0)

, (0, 0, 1)} for both domain and codomain. The trace of B is@passage

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