IITM BS Question 9 - Week 6 Practice | Prasnya

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IITM BS Question 9 - Week 6 Practice | Prasnya

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Q9Comprehension3 Marks3 Aug 2025

Passage

Let

T:\mathbb{R}^4\to\mathbb{R}^2

be the linear transformation defined by

T(x_1,x_2,x_3,x_4)=(x_1-x_2,\ x_2-x_3+x_4)

for all

(x_1,x_2,x_3,x_4)\in\mathbb{R}^4

.

Find the value of

k

for which the set

k

is a basis for the kernel of

T

.

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Q9

00:00

3 Aug 2025

Mathematics 2 · Week 6

Q9.Find the value of

k

for which the set

k

is a basis for the kernel of

T

.@passage

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