If `A` is an idempotent matrix satisfying, `(I-0. 4 A)^(-1)=I-alphaA ,w h e r eI` is the unit matrix of the name order as that of `A ,` then th value of `|9alpha|` is equal to ________.

If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h e r eI is the unit matrix of the same order as that of A , then th value of |9alpha| is equal to ________.

If A is an idempotent matrix satisfying (I-0.4A)^(-1)=I-alphaA where I is the unit matrix of the same order as that of A then the value of alpha is

Let A be a non - singular square matrix such that A^(2)=A satisfying (I-0.8A)^(-1)=I-alphaA where I is a unit matrix of the same order as that of A, then the value of -4alpha is equal to

If A is a square matrix such that A(a d j\ A)=5I , where I denotes the identity matrix of the same order. Then, find the value of |A| .

If M=[{:(,1,2),(,2,1):}] and I is a unit matrix of the same order as that of M, show that M^2=2M+3I

If A is a square matrix such that A^(3) =I then the value of A^(-1) is equal to

If A is a skew symmetric matrix, then B=(I-A)(I+A)^(-1) is (where I is an identity matrix of same order as of A )

If A is an idempotent matrix and I is an identify matrix of the Same order, then the value of n, such that (A+I)^n =I+127A is

A square matrix A of order 3 satisfies A^(2)=I-2A , where I is an identify matrix of order 3. If A^(n)=29A-12I , then the value of n is equal to

If I is a unit matrix of order 10 , then the determinant of I is equal to