IITM BS Question 57 - Week 6 Practice | Prasnya

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IITM BS Question 57 - Week 6 Practice | Prasnya

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Q57Comprehension1 Mark10 Jul 2022

Passage

Let

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

be defined by

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

. Let

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

be the matrix representation of

T

with respect to

T

for the domain and

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

for the codomain. Let

S=\{(x,y,z):x=mz,\ y=nz\}

be the nullspace of

T

.

What is the value of

f-c

?

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Q57

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10 Jul 2022

Mathematics 2 · Week 6

Q57.What is the value of

f-c

?@passage

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