1 [a] Let us consider a linear transformation T: R³ R² where T 0 0 -0)-(-)-0-0) (1)-(3) (3). = and T 0 = T - (²). [aii] Use the transformation matrix found in part [ai] to find T = [ai] Find the transformation matrix that induces the above transformations. 1 -2? 5

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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[a] Let us consider a linear transformation T: R³ R² where T 0
0
0
7 (1)-(3) and T
(+¹) and 7 (19) - (3).
T =
0 =
0
[ai] Find the transformation matrix that induces the above transformations.
(3)³
-2?
5
[aii] Use the transformation matrix found in part [ai] to find T
[b] Let us consider a linear transformation T: R² → R² where T
2
(1)-(²)
=
T
(¹) = (2).
3
[bi] Find the transformation matrix that induces the above transformations.
(3) ²
?
[bii] Use the transformation matrix found in part [bi] to find T
(₂²) = (³)
2
and
Transcribed Image Text:[a] Let us consider a linear transformation T: R³ R² where T 0 0 0 7 (1)-(3) and T (+¹) and 7 (19) - (3). T = 0 = 0 [ai] Find the transformation matrix that induces the above transformations. (3)³ -2? 5 [aii] Use the transformation matrix found in part [ai] to find T [b] Let us consider a linear transformation T: R² → R² where T 2 (1)-(²) = T (¹) = (2). 3 [bi] Find the transformation matrix that induces the above transformations. (3) ² ? [bii] Use the transformation matrix found in part [bi] to find T (₂²) = (³) 2 and
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Part B here please, thank you!

[a] Let us consider a linear transformation T: R³ R² where T 0
0
0
7 (1)-(3) and T
(+¹) and 7 (19) - (3).
T =
0 =
0
[ai] Find the transformation matrix that induces the above transformations.
(3)³
-2?
5
[aii] Use the transformation matrix found in part [ai] to find T
[b] Let us consider a linear transformation T: R² → R² where T
2
(1)-(²)
=
T
(¹) = (2).
3
[bi] Find the transformation matrix that induces the above transformations.
(3) ²
?
[bii] Use the transformation matrix found in part [bi] to find T
(₂²) = (³)
2
and
Transcribed Image Text:[a] Let us consider a linear transformation T: R³ R² where T 0 0 0 7 (1)-(3) and T (+¹) and 7 (19) - (3). T = 0 = 0 [ai] Find the transformation matrix that induces the above transformations. (3)³ -2? 5 [aii] Use the transformation matrix found in part [ai] to find T [b] Let us consider a linear transformation T: R² → R² where T 2 (1)-(²) = T (¹) = (2). 3 [bi] Find the transformation matrix that induces the above transformations. (3) ² ? [bii] Use the transformation matrix found in part [bi] to find T (₂²) = (³) 2 and
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