Let A be a 2 x 3 matrix and T: R³ → R2 be the linear mapping T(E)--(8)=TGiven that Tabsin (a)dif8α Ω= [3]. ar, and T= A x.2(1)-1)=xP, find A.

Answered: Let A be a 2 x 3 matrix and T: R³ → R²…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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Related questions

Question

Let A be a 2 x 3 matrix and T: R³ → R2 be the linear mapping T
(E)--(8)
=
T
Given that T
absin (a)
di
f
8
α Ω
= [3]. ar
, and T
= A x.
2
(1)-1)
=
x
P
, find A.

Expert Solution

Step 1: Given

Consider the linear transformation $T colon R cubed rightwards arrow R squared$

$T left parenthesis x right parenthesis equals A x$

$T open parentheses table row 1 row 0 row 0 end table close parentheses equals open square brackets table row 1 row 7 end table close square brackets T open parentheses table row 0 row 1 row 0 end table close parentheses equals open square brackets table row 3 row 0 end table close square brackets T open parentheses table row 0 row 0 row 1 end table close parentheses equals open square brackets table row 2 row cell negative 5 end cell end table close square brackets$