Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. 7 А. Т(A) — 1 A from R2x5 to R²×5 -2 3 °8. 7(A) = A - 2 4 Т(А) — А 3 A from R2x2 to R2x2 3 C. T(A) = det(A) from R4×4 to IR D. T(A) = SAS-1 from R2x2 to R²×2, where S = -1 O E. T(A) = 8A from R3x4 to R³×4 OF. T(A) = A7 from R3x3 to R³×3
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. 7 А. Т(A) — 1 A from R2x5 to R²×5 -2 3 °8. 7(A) = A - 2 4 Т(А) — А 3 A from R2x2 to R2x2 3 C. T(A) = det(A) from R4×4 to IR D. T(A) = SAS-1 from R2x2 to R²×2, where S = -1 O E. T(A) = 8A from R3x4 to R³×4 OF. T(A) = A7 from R3x3 to R³×3
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,...
Related questions
Question
![Which of the following transformations are linear? Select all of the linear
transformations. There may be more than one correct answer. Be sure you can justify your
answers.
7
A. T(A) = ,
1
A from R2x5 to R2x5
-2 3
2 -4
2 4
в. Т(А) — А
3
A from R2x2 to R2×2
7
3
OC. T(A) = det(A) from R4x4 to R
6
7
D. T(A)
SAS-1 from R2×2 to IR²×² , where S
-1
OE. T(A) = 8A from R3x4 to R³×4
OF. T(A) = A7 from R3x3 to R³×3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02d57bca-6884-46ea-9864-7b8f7cec2911%2Fa96ce7ce-1394-4327-a56d-cca9e762694f%2Fxprnnod_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following transformations are linear? Select all of the linear
transformations. There may be more than one correct answer. Be sure you can justify your
answers.
7
A. T(A) = ,
1
A from R2x5 to R2x5
-2 3
2 -4
2 4
в. Т(А) — А
3
A from R2x2 to R2×2
7
3
OC. T(A) = det(A) from R4x4 to R
6
7
D. T(A)
SAS-1 from R2×2 to IR²×² , where S
-1
OE. T(A) = 8A from R3x4 to R³×4
OF. T(A) = A7 from R3x3 to R³×3
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