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Please show all steps clearly. Also please use m=0, f= 7 and l=5 in the equation above and the solve accordingly. 5) (10 pts) Another
Please show all steps clearly. Also please use m=0, f= 7 and l=5 in the equation above and the solve accordingly.
5) (10 pts) Another method to find inverse of a square matrix uses the following equation. 1 A- det (A) [4] Where, [A] is the transpose of the matrix obtained when every element of matrix A is replaced by its cofactor. Clearly show the cofactor of every element, then the matrix [A;], and then [A]. For example, for the following matrix B, sample cofactors of elements b23 and b31 are shown; followed by the matrix of cofactors [Bj]; followed by [Bj]"; and then B-. Calculate A using this method and check that you obtain the same answer as in the earlier question. 3 2 -11 8 -3 1 2 B = 1 0; det(B) = 19 (Verify; no need to show in your solution.). 2 Cofactor of b23 = B3 = (1)+|3 | = -9. Cofactor of b31 = B31 = (-1)+||=8 By calculating cofactors of all the elements of B gives the following cofactor matrix. (Verify; no need to show in your solution.) 16 T This gives [B] =-2 [16 -2 25 [Buj] = -5 3 -9 8 -1 22] -5 8 3 -1 and B- = 25 -9 22. 1 19 16 -5 -2 25 -9 8 -1 22.
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