Question 48 - Week 6 Practice | Prasnya

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Week 6

SubjectMathematics 2

Question 48 of 62

Passage question

00:00Est. 1 min

Marks+1.000.00

Passage

Consider the system

AX=b

, where

A=\begin{bmatrix}1&1&1\\1&0&1\\1&-1&1\end{bmatrix}

,

X=(x,y,z)^T

, and

b=(1,1,1)^T

. Let

L

be the solution set and

W

be the subspace corresponding to

L

.

Question

If the

m\times n

matrix

B

is the matrix of

T

with respect to some basis for

W

and the standard ordered basis for

\mathbb{R}^2

, what is

m+n

?

ComprehensionEasy Difficulty02 April 2023

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