" Q25the invers of "[[0,1],[1,0]]" is "

If the inverse of [{:(1,p,q),(0,x,0),(0,0,1):}]"is"[{:(1,-p,-q),(0,1,0),(0,0,1):}] then what is the value of x?

Find the inverse of each of the matrices given below : Obtain the inverse of the matrics [(1,p,0),(0,1,p),(0,0,1)] and [(1,0,0),(q,1,0),(0,q,1)] . And, hence find the inverse of the matrix [((1+pq),p,0),(q,(1+pq),p),(0,q,1)] . Let the first two matrices be A and B. Then, the third matrix is AB. Now, (AB)^(-1)=(B^(-1)A^(-1))

Let A=[[5,0-1,0]] and B=[[0,1-1,0]]. If 4A+5B-C=0 then C is (A) [[5,25-1,0]] (B) [[2,5-1,0]] (C) [[5,-10,25]] (D) none of these

Q7Which of the following is a symmetric as well as skew-symmetric matrix : (a) [[1,2],[1,0]] (b) [[0,0],[0,0]] (c) [[1,0],[0,1]]

Let matrix A = [[1,0,0],[25,1,0],[25,0,1]] and a matrix B of third order with its columns as B_1 , B_2 , B_3 be such that AB_1 = [[1],[25],[25]] , AB_2 = [[0],[1],[0]] , and AB_3 = [[0],[0],[1]] . Find det(adj B) .

If A=[(1,0),(1/2,1)] then A^50 is (A) [(1,25),(0,1)] (B) [(1,0),(25,1)] (C) [(1,0),(0,50)] (D) [(1,0),(50,1)]

If A=[(1,0),(1/2,1)] then A^50 is (A) [(1,25),(0,1)] (B) [(1,0),(25,1)] (C) [(1,0),(0,50)] (D) [(1,0),(50,1)]

If A = [(1,0),(0,1)] and B = [(0,1),(-1,0)] , show that (pA + qB) (pA - qB) = (p^2 + q^2)A

The arrangment of the following distances between the points in ascending order is (A) P(0, 0), Q(1, 1) " "(B) P(0, 1), Q(0, 5)" "(C) P(3, 0), Q(8, 0)" "(D) P(0, 0), Q(-2, -2)