A square matrix P satisfies `P^(2)=I-2P` where I is identity matrix.If `P^(2)+P^(3)+P^(4)=a^(2)I-b^(2)P` then `a^2+b^2=`

A square matrix P satisfies P^2=I-2P where I is the identify matrix if P^(2)+P^(3)+P^(4)=a^(2)I-b^(2)P then a,b=

A square matrix P satisfies P^(2)=I-P where I is identity matrix. If P^(n)=5I-8P , then n is

A square matrix P satisfies P^(2)=I-p where I is the identity matrix and p^(x)=5I-8p, then x

Let A=[("tan"pi/3,"sec" (2pi)/3),(cot (2013 pi/3),cos (2012 pi))] and P be a 2 xx 2 matrix such that P P^(T)=I , where I is an identity matrix of order 2. If Q=PAP^(T) and R=[r_("ij")]_(2xx2)=P^(T) Q^(8) P , then find r_(11) .

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

If a matrix A satisfies A^(2)-4A+3I=0 and if A^(8)=pA+ql , then ((p)/(80)-40) equals

If a matrix A satisfies A^(2)-4A+3I=0 and if A^(8)=pA+ql ,then (p)/(80)-40 equals

If a matrix A satisfies A^(2)-4A+3I=0 and if A^(8)=pA+qI ,then ((p)/(80)-40) equals