Question 18 - Week 6 Practice | Prasnya

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Week 6

SubjectMathematics 2

Question 18 of 62

Passage question

00:00Est. 2 min

Marks+1.000.00

Passage

Let

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

be a linear transformation given by

T(x,y)=(2x-3y,-x+5y,x+y)

. Answer the subquestions.

Question

Let

S

be any straight line in

\mathbb{R}^2

passing through the origin. If

T(S)

is the image of

S

under

T

in

\mathbb{R}^3

, what is the dimension of

T(S)

?

ComprehensionMedium Difficulty01 December 2024

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