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Determine which of the following identities are true for all 2x2 matrices A, B, C. (Select all that apply.) (a) O (AB)3 = A(BA)²B O (B+C)A = АВ+АС O None of the above O (A+B)2 = A²+2AB+B? (b) O A+B+C = C+B+A O None of the above (c) O (AB)C = A(BC) O A(B+C) = AC+AB O None of the above

Determine which of the following identities are true for all 2x2 matrices A, B, C. (Select all that apply.) (a) O (AB)3 = A(BA)²B O (B+C)A = АВ+АС O None of the above O (A+B)2 = A²+2AB+B? (b) O A+B+C = C+B+A O None of the above (c) O (AB)C = A(BC) O A(B+C) = AC+AB O None of the above

Advanced Engineering Mathematics
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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Determine which of the following identities are true for all 2x2 matrices A, B, C. (Select all that apply.) (a) O (AB)3 = A(BA)²B (B+C)A = АВ+АС O None of the above O (A+B)2 = A²+2AB+B? (b) A+B+C = C+B+A O None of the above (c) (AB)C = A(BC) А(В+C) %3D AC+AB O None of the above
Transcribed Image Text:Determine which of the following identities are true for all 2x2 matrices A, B, C. (Select all that apply.) (a) O (AB)3 = A(BA)²B (B+C)A = АВ+АС O None of the above O (A+B)2 = A²+2AB+B? (b) A+B+C = C+B+A O None of the above (c) (AB)C = A(BC) А(В+C) %3D AC+AB O None of the above
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