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 M is a 3xx3 matrix, where det M = I and M M^(T) = I, where I is an identity matrix, prove that det(M-I) = 0

If A is a 3xx3 matrix such that det.A=0, then

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:

Let A be any 3xx2 matrix. Then prove that det. (A A^(T))=0 .

If M is a 3times3 matrix such that M^(2)=0 ,then det ((I+M)^(50)-50M) where I is an identity matrix of order 3, is equal to.

If is a non-singular matrix, then det (A^(1))=

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)

If A is a square matrix of order 2 then det(-3A) is

Let A be a 3xx3 square matrix such that A(a d j\ A)=2I , where I is the identity matrix. Write the value of |a d j\ A| .