Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B × C).
Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B × C).
Chapter7: Systems Of Equations And Inequalities
Section7.5: Matrices And Matrix Operations
Problem 3SE: Can both the products AB and BA be defined? If so, explain how; if not, explain why.
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![. Let A = {1}, B = {2}, and C = {3}.
(a) Explain why A x B # B × A.
(b) Explain why (A x B) × C ‡ A × (B × C).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2F16313353-92ca-42d7-b43b-8607360a3959%2Fm0intu_processed.png&w=3840&q=75)
Transcribed Image Text:. Let A = {1}, B = {2}, and C = {3}.
(a) Explain why A x B # B × A.
(b) Explain why (A x B) × C ‡ A × (B × C).
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