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3. a. Give an example of two 2 × 2 matrices such that (A+ B)(A – B) # A² – B² b. State a valid formula for multiplying out (A + B)(A – B) c. What condition can you impose on A and B that will allow you to write (A + B)(A – B) = A² – B?

3. a. Give an example of two 2 × 2 matrices such that (A+ B)(A – B) # A² – B² b. State a valid formula for multiplying out (A + B)(A – B) c. What condition can you impose on A and B that will allow you to write (A + B)(A – B) = A² – B?

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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3. a. Give an example of two 2 × 2 matrices such that (A+B)(A – B)# A² – B² b. State a valid formula for multiplying out (A +B)(A – B) c. What condition can you impose on A and B that will allow you to write (A + B)(A – B) = A² – B²? - 9:55 PM 61°F Mostly cloudy 1/12/2022 梦 0 99+ e to search hp
Transcribed Image Text:3. a. Give an example of two 2 × 2 matrices such that (A+B)(A – B)# A² – B² b. State a valid formula for multiplying out (A +B)(A – B) c. What condition can you impose on A and B that will allow you to write (A + B)(A – B) = A² – B²? - 9:55 PM 61°F Mostly cloudy 1/12/2022 梦 0 99+ e to search hp
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