" If A is a "2times2" matrix with real entries so that "A^(2)=3A-2I," and "p,q" belongs to integers such that "A^(8)=pA+qI," then "p+q" is "

If A is a 2x2 matrix with real entries so that A^(2)=3A-2I , and p,q belongs to integers such that A^(8)=pA+qI , then p+q is

Let A be a 2 xx 2 real matrix with entries from { 0,1} and |A| ne 0 . Consider the following two statements : (P ) If A ne I_2 then |A| =-1 (Q ) if |A| =1 , then Tr (A)=2 Where I_2 denotes 2xx 2 identity matrix and tr (A) denotes the sum of the diagonal entries of A then :

If p and q are positive real numbers such that p^2+q^2=1 , then the maximum value of p+q is

GIven the matrix A=[[0,1,00,0,11,2,-1]]. The constants p,q,r sich that A^(3)=pA^(2)+qA+rl, then

If p and q are distinct integers such that 2005 + p = q^2 and 2005 + q = p^2 then the product p.q is.

If p&q are two real numbers satisfying the relation 2p^(2)-3p-1=0 and q^(2)+3q-2=0 respectivelyand pq!=1, then

If p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)

if p and q are positive real numbers such that p^(2)+q^(2)=1 then find the maximum value of (p+q)