
#1
Sep109, 07:53 PM

P: 24

I know how to find the adjugate of 3x3 matrix. from the defination.
How to find adjugate of 2x2 matrix. e.g A= ( 1 3 ) ______( 2 4 ) adjoint . First . we find matrix of cofactor. from the defination. (n1)(n1) matrix * (sign associated with the element's position). Second, we taking the transpose we get the adj(A) Then we find the det(A). Finally, A^1 = 1/det(A) * adj(A) The inverse of A. [itex]AA^ = A^A=I[/itex] and A adj(A) = det(A)I The inverse of [itex]A = det(A)I/ A^[/itex] 


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