Let A = - [34] and 8- [8 -1] B = (a) Compute (A + B)². (A + B)² = (b) Compute A2 + 2AB + B². A² + 2AB + B² = ↓ 1 (c) From the results of parts (a) and (b), conclude that in general, (A + B)² ? A² + 2AB + B².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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Let
31
6 -6
A- [8] and B- [81]
[34] [6
=
=
04
(a) Compute (A + B)².
(A + B)² =
=
(b) Compute A² + 2AB + B².
A² + 2AB + B²
↓↑
(c) From the results of parts (a) and (b), conclude that in general, (A + B)² ? ✓ A² + 2AB + B².
Transcribed Image Text:Let 31 6 -6 A- [8] and B- [81] [34] [6 = = 04 (a) Compute (A + B)². (A + B)² = = (b) Compute A² + 2AB + B². A² + 2AB + B² ↓↑ (c) From the results of parts (a) and (b), conclude that in general, (A + B)² ? ✓ A² + 2AB + B².
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