IITM BS Question 4 - Week 7 Practice

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IITM BS Question 4 - Week 7 Practice | Prasnya

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Q4Numerical4 Marks6 Apr 2026

Suppose that

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

is a linear transformation given by

T(x,y,z)=(x-2y,\ y+z)

. Let

A

be the matrix representation of

T

with respect to the ordered standard bases for both domain and codomain. If

B

is equivalent to

A

, find the rank of

B

Your answer

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6 Apr 2026

Mathematics 2 · Week 7

Q4.Suppose that

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

is a linear transformation given by

T(x,y,z)=(x-2y,\ y+z)

. Let

A

be the matrix representation of

T

with respect to the ordered standard bases for both domain and codomain. If

B

is equivalent to

A

, find the rank of

B

Your Answer

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Check

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