Question 5 of 43

Passage question

00:00Est. 3 min

Marks+2.000.00

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.

Question

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

ComprehensionMedium Difficulty06 April 2026

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