Use the algorithm for finding A to find the inverses of the matrices shown to the right. Let A be the corresponding nxn matrix, and let B be its inverse. Guess the form of B, and then show that AB = I 12 00 12 12 0 12 12 12 12 000 12 12 0 0 12 12 12 0 12 12 12 12 1 12 12 0 0 0 1 12 1 12 12 12 (Type an integer or simplified fraction for each matrix element.) 1 0 12 1 12 0 1_2_1_12 1 12 0 0... 1 12 0 0 0 1 1 12 12 (Type an integer or simplified fraction for each matrix element.) If A is the corresponding nxn matrix and B is its inverse, which of the following is B? O A. 1 0 1 0 1 0 0 0... 0 0 1 12 1 12 0 0 0 0 1 12 00 0 0 1 12 0 OB. 1 72 0 0... 1 0 # 12 1 0 12 12 -2 -2 -12-12 000... 00 00 0 0 1 12 12 00 12 12 0 12 12 12 and 12 000 12 12 00 12 12 12 0 12 12 12 12

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Q: Find the inverse of the matrix A, if it exists. A = 02 -507 050]

A: By Adjoint method ; A-1=Adj AA____(1)Here cofactor matrix of A is, =-350-25100014-1010 Adj…

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Q: 4 3 A = 1 2 2 4 1

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