Nilpotent Matrix

(A) If A and B are orthogonal,then AB is (B) If A and B are nilpotent matrices of order r and s and A and B commute,then (AB)^(r) is

If an idempotent matrix is also skew symmetric then it can not be 1 an involutary matrix 2 an identity matrix 3 an orthogonal matrix 4 a null matrix.

If A^(k)= 0 (Ais nilpotent with index k), (I-A)^(p)=I+A+A^(2)+. . .+A^(k-1) , thus p is

Iluustration Based upon Symmetric and Skew Symmetric Matrix || Theory OF Idempotent, Nilpotent, Involntry, Orthogonal and Periodic Matrix

The matrix {:A=[(1,-3,-4),(-1,3,4),(1,-3,-4)]:} is nilpotent of index

A square matrix A is said to be nilpotent of induare if A^(m)=0. Now if for this A,(I-A)^(n)=I+A+A^(2)+A^(3)++A^(m-1) then n is equal to