IITM BS Question 5 - Week 7 Practice

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IITM BS Question 5 - Week 7 Practice | Prasnya

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Q5Comprehension2 Marks6 Apr 2026

Passage

Let

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

be a linear transformation defined by

T(x,y,z)=(x+2y-z,\ 3x+y+z)

. Based on the above data, answer the given subquestions.

Consider the set

L=\{(x,y,z)\in\mathbb{R}^3\mid x+y+z=1,\ x-y=0\}

. Find the

y

-coordinate of the point of intersection of the image of

L

under

T

, that is, the set

\{T(x,y,z)\mid (x,y,z)\in L\}

, and the

y

-axis in

\mathbb{R}^2

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6 Apr 2026

Mathematics 2 · Week 7

Q5.Consider the set

L=\{(x,y,z)\in\mathbb{R}^3\mid x+y+z=1,\ x-y=0\}

. Find the

y

-coordinate of the point of intersection of the image of

L

under

T

, that is, the set

\{T(x,y,z)\mid (x,y,z)\in L\}

, and the

y

-axis in

\mathbb{R}^2

.@passage

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