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Determine which of the following formulas hold for all invertible n×n matrices A and B.
1. (I+A)(I+A−1)=2I+A+A−1
2. AB=BA
3. (AB)−1=A−1B−1
4. A3 is invertible
5. (ABA−1)3=AB3A−1
6. (I−A)(I+A)=I−A2
7. A+B is invertible
8. (A+B)(A−B)=A2−B2
9. (A+B)2=A2+B2+2AB
10. ABA−1=B

Answer :

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

${teks-lihat-gambar} olumidechemeng

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