" 6.Determine the values of "p" such that the rank of "A=[[1,1,-1,0],[4,4,-3,1],[p,2,2,2],[9,9,p,3]]" is "3" ."

A value of b for which the rank of the matrix A=[[1,1,-1,0],[4,4,-3,1],[b,2,2,2],[9,9,b,3]] is 3 ,is

Find the rank of [[2,-1,1,4],[1,0,1,5],[4,-1,3,1],[3,-1,2,9]]

Find the value of p if |[p,4,-4],[3,-2,1],[-2,-4,1]|=0

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

The rank of the following matrix A is A=[[1,-2,3,-4],[2,9,4,5],[4,5,10,-3],[1,11,-1,9]]

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

Find the value of p if the points A(2,-1,1),B(4,0,p),C(1,1,1) and D(2,4,3) are coplanar.

Find the values of p,q,r, and s if [(p^(2)-1,0,-31-q^(3)),(7,r+1,9),(-2,8,s-1)]=[(1,0,-4),(7,(3)/(2),9),(-2,8,-pi)]

If p(t) = 3t^3+4t-5 find the values of p(1),p(-1),P(0),p(2),p(-2).