Practice question

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Question

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

.

Integer answerEasy Difficulty06 April 2026

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