he given matrix equation In Exercises 6 -9, solve Assume that all matrices are invertible. 6. XA² = A¬1 7. AXB = (BA)² 8. (A-1X)-1 = A(B-²A)-1 9. ABXA-'B-1 = I + A

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Chapter2: Second-order Linear Odes
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In Exercises 6 -9, solve the given matrix equation for X. Simplify your answers as much as possible.
Assume that all matrices are invertible.
6. ΧΑ2 A-1
7. AXB = (BA)²
8. (A-1X)-1 = A(B-²A)-1
9. ABXA-1B-1 = I + A
Transcribed Image Text:In Exercises 6 -9, solve the given matrix equation for X. Simplify your answers as much as possible. Assume that all matrices are invertible. 6. ΧΑ2 A-1 7. AXB = (BA)² 8. (A-1X)-1 = A(B-²A)-1 9. ABXA-1B-1 = I + A
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