If A, B, and C are 4x4 matrices, which of the following is not always true? А. О (АхВ)хС%DАх(ВХС) В. О (АхВ)хС%DСx(АХВ) C. O (A+B)+C =A+(B+C) D. O (A+B)+ C = C+ (A+B) Е. О Аx(В+C)%3DАхВ+АхС
If A, B, and C are 4x4 matrices, which of the following is not always true? А. О (АхВ)хС%DАх(ВХС) В. О (АхВ)хС%DСx(АХВ) C. O (A+B)+C =A+(B+C) D. O (A+B)+ C = C+ (A+B) Е. О Аx(В+C)%3DАхВ+АхС
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![If A, B, and C are 4x4 matrices, which of the following is not always true?
А. О (АхВ)хС%DАх(ВХС)
В. О (АхВ)хС%DСx(АХВ)
C. O (A+B)+C =A+(B+C)
D. O (A+B)+ C = C+ (A+B)
Е. О Аx(В+C)%3DАхВ+АхС](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae999a4b-7a55-4de9-b699-38bf429eb8f0%2F54472ee3-762d-4312-96df-f80d93bbfc88%2F0xfl0c_processed.png&w=3840&q=75)
Transcribed Image Text:If A, B, and C are 4x4 matrices, which of the following is not always true?
А. О (АхВ)хС%DАх(ВХС)
В. О (АхВ)хС%DСx(АХВ)
C. O (A+B)+C =A+(B+C)
D. O (A+B)+ C = C+ (A+B)
Е. О Аx(В+C)%3DАхВ+АхС
![Which of the following is not necessarily true about an affine transformation?
A. O It preserves affine combination of points.
B. O It preserves lines.
C. O It preserves planes.
D. O It preserves parallelism of planes and lines.
E. O It preserves volumes of enclosed objects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae999a4b-7a55-4de9-b699-38bf429eb8f0%2F54472ee3-762d-4312-96df-f80d93bbfc88%2Fek2s59sj_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following is not necessarily true about an affine transformation?
A. O It preserves affine combination of points.
B. O It preserves lines.
C. O It preserves planes.
D. O It preserves parallelism of planes and lines.
E. O It preserves volumes of enclosed objects.
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