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 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 A is a square matrix such that A^(2)=A then write the value of 7A-(I+A)^(3), where I is the identity matrix.

If I_(3) is identity matrix of order 3, then I_(3)^(-1)=

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

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 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

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. If m = 2 and n = 5 then p equals to