If `|A|=2` , where `A` is `2xx2` matrix, find `|a d j\ A|` .

Find the value of A^2 where A is a 2 xx 2 matrix whose elements are given by a_( ij ) = {{:(1 "if " i ne j) ,( 0 " if " i = j ):}

Show that the matrix A = {:[( 2,3),( 1,2) ]:} satisfies equation A^(2) -4A +I=0 where is 2xx2 identity matrix and O is 2xx2 Zero matrix. Using this equation, Find A^(-1)

If AB=C where A is a matrix of order 2xx2 and C is a matrix of order 2xx5 , then the order of B is :

Show that the matrix A = {:[( 2,3),( 1,2) ]:} satisfies equation A^(2) -4A +I=0 where I is 2xx2 identity matrix and 0 is 2xx2 Zero matrix. Using this equation, Find A^(-1)