Question 13 of 62

Passage question

00:00Est. 2 min

Marks+4.000.00

Passage

Based on the above data, answer the given subquestions. Consider the linear transformation

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

defined by

T(x,y,z)=(x-3y-(k+1)z,\ 2x+ky+10z)

for all

(x,y,z)\in\mathbb{R}^3

, where

k\in\mathbb{R}

Question

For the value of

k

obtained in the previous question, which of the following vectors belong to the range of

T

ComprehensionMedium Difficulty16 March 2025