9. Let =-6 A = :] 100 010 B = 0 -- 1 0 0 Show...

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9. Let =-6 A = :] 100 010 B = 0 -- 1 0 0 Show that AB = 12. What can you say about BA? 10. Show that the identity matrix is invertible but the zero matrix is not. 11. Is the sum of two invertible matrices necessarily invertible? Explain. 12. Under what conditions a diagonal matrix is invertible? Explain. 9. Let =-6 A = :] 100 010 B = 0 -- 1 0 0 Show that AB = 12. What can you say about BA? 10. Show that the identity matrix is invertible but the zero matrix is not. 11. Is the sum of two invertible matrices necessarily invertible? Explain. 12. Under what conditions a diagonal matrix is invertible? Explain.