Question 49 - Week 6 Practice | Prasnya

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Week 6

SubjectMathematics 2

Question 49 of 62

Passage question

00:00Est. 1 min

Marks+1.000.00

Passage

Consider

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

and

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

given by

T(x,y,z)=(x+y,y+z)

and

S(x,y)=(x,y,x+y)

. Let

\beta

and

\gamma

be the standard ordered bases of

\mathbb{R}^3

and

\mathbb{R}^2

.

Question

If

A

is the matrix representation of

S\circ T

with respect to

\beta

for both domain and codomain, and the order of

A

is

m\times n

, find

m+n

.

ComprehensionEasy Difficulty20 November 2022

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