If `M` is a `3xx3` matrix, where det `M=1a n dM M^T=1,w h e r eI` is an identity matrix, prove theat det `(M-I)=0.`

If M is a 3xx3 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

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

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 A is a skew-symmetric matrix of order 3, then prove that det A=0.

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 _______.

If P is a 3xx3 matrix such that P^(T)=2P+I where P^(T) is the transpose of P and I is the 3xx3 identity matrix,then there exists a column matrix,X=[[xyz]]!=[[000]] such that

If A is a square matrix of order 3, then the true statement is (where I is unit matrix) (1)det(-A)=-det A(2) det A=0 (3) det(A+I)=1+det A(4)det(2A)=2det A