IITM BS Question 19 - Week 6 Practice | Prasnya

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IITM BS Question 19 - Week 6 Practice | Prasnya

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Q19Comprehension1 Mark1 Dec 2024

Passage

Let

T:\mathbb{R}^2\to\mathbb{R}^3

be a linear transformation given by

T(x,y)=(2x-3y,-x+5y,x+y)

. Answer the subquestions.

Let

B_1=\{(1,-1),(0,2)\}

and

B_2=\{(1,0,0),(0,1,0),(0,0,1)\}

. Which matrix is the representation of

T

with respect to

T

for the domain and

B_2

for the codomain?

Q19

00:00

1 Dec 2024

Mathematics 2 · Week 6

Q19.Let

B_1=\{(1,-1),(0,2)\}

and

B_2=\{(1,0,0),(0,1,0),(0,0,1)\}

. Which matrix is the representation of

T

with respect to

T

for the domain and

B_2

for the codomain?@passage

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