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svp [43]
3 years ago
12

C) What condition can you impose on A and B so that(A+B)(A−B) = A2−B2?

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

Observe that

(A+B)(A-B)=AA-AB+BA-BB=A^2-AB+BA-B^2

Since the product of matrices isn't commutative, then for any matrices A and B A\neq B.

Then, if we want that (A+B)(A-B)=A^2-B^2, we need impose the condition that AB=BA

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