IITM BS Question 6 - Week 5 Practice

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IITM BS Question 6 - Week 5 Practice | Prasnya

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Q6Comprehension2 Marks16 Mar 2025

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}

Find the value of

k

for which the nullity of the transformation

T

equals

2

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00:00

16 Mar 2025

Mathematics 2 · Week 5

Q6.Find the value of

k

for which the nullity of the transformation

T

equals

2

.@passage

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