" .If "P=[[2,-2,-4],[-1,3,4],[1,-2,-3]]" then show that,"P^(2)=P

If P=[(2, -2, -4),(-1, 3, 4),(1, -2, -3)], then P^(5) equals

If P = [{: (2 , -2, -4),(-1, 3, 4),(1 , -2, -3):}] , then P^(5) equals

If |{:(2, -3), (p-4, 2p-1):}| = -6 , then p =____.

If a variable takes the discrete values p+4,p-(7)/(2),p-(5)/(2),p-3,p-2,p+(1)/(2),p-(1)/(2),p+5,p>0 then the median is.

Let P and Q be 3xx3 matrices with P!=Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P, then determinant of (P^(2)+Q^(2)) is equal to (1)2(2)1(3)0(4)1

If P_n=cos^ntheta+sin^ntheta, show that : 2P_6-3P_4+1=0 .

If p(4)=3x^(2)+2x-2, then the value of p(3)-p(-1)+p((1)/(2)) is

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+…….+P_(8)x^(8), then prove that : P_(2)+P_(4)+_(6)+P_(8)=40 " and "P_(1)+P_(3)+P_(5)+P_(7)=-40