Excise 4 MAS 3105 7. Find the determinant of the following matrices a.) b.) 8. Let...

 

Transcribed Image Text:

Excise 4 MAS 3105 7. Find the determinant of the following matrices a.) b.) 8. Let Find the x = 121121 -2 0 A = 2 1 1 -2 -3 do to nowo -2 -1 -1 1 0 -1 -1 70 2 -3 2 1024 1 X -1 -2 3 such that the matrix A is singular. 9. Determine whether each statement is true or false, and provide a justifica- tion or a counterexample. a.) Let A be an invertible matrix. Then, AT is also invertible. b.) Let A and B be invertible nxn matrices. Then, A+B is invertible too. c.) Let A and B be invertible n x n matrices. Then, AB is also invertible. Excise 4 MAS 3105 7. Find the determinant of the following matrices a.) b.) 8. Let Find the x = 121121 -2 0 A = 2 1 1 -2 -3 do to nowo -2 -1 -1 1 0 -1 -1 70 2 -3 2 1024 1 X -1 -2 3 such that the matrix A is singular. 9. Determine whether each statement is true or false, and provide a justifica- tion or a counterexample. a.) Let A be an invertible matrix. Then, AT is also invertible. b.) Let A and B be invertible nxn matrices. Then, A+B is invertible too. c.) Let A and B be invertible n x n matrices. Then, AB is also invertible.

Answer rating: 100% (QA)

7 a b Expending along Rows 2 1 27 3 1 22 7 O 2x1 1x22x1 1x0 2x2 2x0 2... View the full answer