IITM BS Question 5 - Week 6 Practice

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IITM BS Question 5 - Week 6 Practice | Prasnya

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Q5Comprehension4 Marks6 Apr 2026

Passage

Let

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

be a linear transformation defined by

T(x,y,z)=(x+y+z,\ x+2y+3z,\ 2x+3y+4z)

. Let

U=\{(x,y,z)\in\mathbb{R}^3\mid x+y+z=0\}

. Define the linear transformation

S=T|_U:U\to\mathbb{R}^3

. Based on the above data, answer the given subquestions.

Find the dimension of the image of

S

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6 Apr 2026

Mathematics 2 · Week 6

Q5.Find the dimension of the image of

S

.@passage

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