Question 4 of 62

Passage question

00:00Est. 4 min

Marks+4.000.00

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

Let

v=(a,b,c)\in\mathbb{R}^3

be a vector in the kernel of

T

such that

a+b+c=1

. Find the value of

a+2b+3c

up to two decimal places.

ComprehensionMedium Difficulty06 April 2026

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