IITM BS Question 34 - Week 6 Practice

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IITM BS Question 34 - Week 6 Practice | Prasnya

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Q34Comprehension2 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

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

be a linear transformation such that T(x, y, z) =

\text{det}(A)

. Let B be the matrix representation of T with respect to some ordered bases for the domain and the codomain. Let m x n be the order of the matrix B and r be the nullity of B. Then find the value of m + n + r.

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Q34

00:00

7 Aug 2022

Mathematics 2 · Week 6

Q34.Let

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

be a linear transformation such that T(x, y, z) =

\text{det}(A)

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