Question

Find the inverse matrix of matrix A and check it by calculating AA-7. 16001 A = 0 6 5 L001] 0.1666666 A-1 = 0.1666666 -0.833333

These two ARE not the answers and I am on my final attempt someone please help me!

Answer 1

o 6 5 To find the inverse matrix augmented it with the the identity matrix and perform roed operation's trying to make the identity matrix to the left. Then to the right will be inverse matrix. So, augument the matrix with identity matrix - To ooool To 65 o 1o make acros in entry out row 1 Column 1 except the Column 1 (pivot entry) As can be seen all elements in the column (exept pivot) are already zoro - Divide now I by G T To so 650 lol 10o make zoros in column 2 except the entry at row 2 column 2 (pivot entry) - As can be seen, all elements in the Coloumn (except pivot) are already zero Vol 316 | 1160

make zeros in coloumn 3 cxcept the entry eat row 3 column 3 (pivot entry) Subtract row o multiplied by 5/6 from row 2 ( fr = R2 (5 ps). o lolo 16 -5% As can be the identity are done. seen, we have obtained matrix to the left so, wc AAT - I . o o o Tribo o To 6 51o % -5% lolol - o i