IITM BS Question 46 - Week 6 Practice | Prasnya

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IITM BS Question 46 - Week 6 Practice | Prasnya

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Q46Comprehension3 Marks2 Apr 2023

Passage

Let

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

be defined by

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

.

If

A=\begin{bmatrix}a&b\\c&d\\e&f\end{bmatrix}

denotes the matrix of

T

with respect to

T

for

\mathbb{R}^2

and

\{(1,1,1),(1,1,0),(-1,0,0)\}

for

\mathbb{R}^3

, what is

a+d+e

?

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Q46

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2 Apr 2023

Mathematics 2 · Week 6

Q46.If

A=\begin{bmatrix}a&b\\c&d\\e&f\end{bmatrix}

denotes the matrix of

T

with respect to

T

for

\mathbb{R}^2

and

\{(1,1,1),(1,1,0),(-1,0,0)\}

for

\mathbb{R}^3

, what is

a+d+e

?@passage

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