Which of the following transformations are linear? Select all of the linear transformations. (There may be more than one correct answer)Picture attached A. L(A) = A5 from R5x5 to R5x5B. L(A)=9A from R5×4 to R5x4-9 67 5C. L(A) = A-7 93E. L(A) = AT from R³x4 to R4x3, where A¹ denotes the transpose of AD. L(A) = ASA-¹ from R²×2 to R²×², where S2x2=F. L(A) = Afrom R to R²x284-378 33]1A from R2x2 to R²x2

ANS = TRUEThe properties of linearity (preserving vector addition and scalar multiplication) are…

A. L(A) = A5 from R5x5 to R5x5 B. L(A)=9A from R5x4 to R5x4 -96 C. L(A)=A 4[76] from R to R2x2 -7 9 D. L(A) = ASA-¹ from R²x2 to R²x2, where S [32] E. L(A) = AT from R³x4 to R4x3, where AT denotes the transpose of A F. L(A) = A [83] A from R2x2 to R²x2 8-3 7

A. L(A) = A5 from R5x5 to R5x5 B. L(A)=9A from R5x4 to R5x4 -96 C. L(A)=A 4[76] from R to R2x2 -7 9 D. L(A) = ASA-¹ from R²x2 to R²x2, where S [32] E. L(A) = AT from R³x4 to R4x3, where AT denotes the transpose of A F. L(A) = A [83] A from R2x2 to R²x2 8-3 7

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Which of the following transformations are linear? Select all of the linear transformations. (There may be more than one correct answer)

Picture attached

A. L(A) = A5 from R5x5 to R5x5
B. L(A)=9A from R5×4 to R5x4
-9 6
7 5
C. L(A) = A
-7 9
3
E. L(A) = AT from R³x4 to R4x3, where A¹ denotes the transpose of A
D. L(A) = ASA-¹ from R²×2 to R²×², where S
2x2
=
F. L(A) = A
from R to R²x2
8
4
-3
7
8 3
3]
1
A from R2x2 to R²x2

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