If `A=[(1,2,2),(2,1,-2),(a,2,b)]` is a matrix satisying the equation `A A^(T)=9I`, where `I` is `3xx3` identity matrix, then the ordered pair (a, b) is equal to

If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , where I is 3xx3 identity matrix, then the ordered pair (a, b) is equal to : (1) (2,-1) (2) (-2,""1) (3) (2, 1) (4) (-2,-1)

if A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying A A'=9I_(3,) find the value of |a|+|b|.

if for a matrix A, A^2+I=O , where I is the identity matrix, then A equals

{:A=[(1,2,2),(2,1,-2),(a,2,b)]:} is a matrix and AA^T=9I, then the ordered pair (a,b) is equal to

If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I_3 , then find the values of a and b .

If M is a 3xx3 matrix such that M^(2)=O , then det. ((I+M)^(50)-50M) where I is an identity matrix of order 3, is equal to:

If M is a 3 xx 3 matrix, where det M=1 and MM^T=1, where I is an identity matrix, prove theat det (M-I)=0.

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 skew symmetric matrix, then I - A is (where I is identity matrix of the order equal to that of A)

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.