Determine which of the following formulas hold for all invertible n?n matrices A and B. (1 point)
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Determine which of the following formulas hold for all invertible n?n matrices A and B.
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(1 point) Determine which of the following formulas hold for all invertible n x n matrices A and B. 1. (ABA-¹)³ = AB³ A-1 2. (A + B)² = A² + B² + 2AB 3. (I + A)(I + A−¹) = 2I + A+ A-¹ 1 No No Yes No No No No Yes No Yes 4. AB = BA ▼5. ABA-¹ = B -1 1 6. (AB) ¹A ¹B¹ 7. (A + B)(A - B) = A² - B² 8. (I − A)(I + A) = I - A² 9. A³ is invertible 10. A + B is invertible (1 point) Determine which of the following formulas hold for all invertible n x n matrices A and B. 1. (ABA-¹)³ = AB³ A-1 2. (A + B)² = A² + B² + 2AB 3. (I + A)(I + A−¹) = 2I + A+ A-¹ 1 No No Yes No No No No Yes No Yes 4. AB = BA ▼5. ABA-¹ = B -1 1 6. (AB) ¹A ¹B¹ 7. (A + B)(A - B) = A² - B² 8. (I − A)(I + A) = I - A² 9. A³ is invertible 10. A + B is invertible
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1 ABA ABA ABA ABA AB AABAA BA ABIBIBA AB A So ABA AB ... View the full answer
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