If `A=(a_(i j))= [[2, 3,-5],[1, 4, 9],[ 0, 7,-2]]` and `B=(b_(i j))=[[2, 1,-1],[-3, 4, 4],[ 1, 5, 2]],` than find `a_(22)+b_(21)`

If A=[a_(ij)]=[[2,3,-51,4,90,7,-2]] and B=[b_(ij)]=[[2,7,-2]] and [[2,-1-3,41,2]] then find a_(22)+b_(21)1,2]]

(5) (i) If A=[[2,4,-1],[-1,0,2]],B=[[3,4],[-1,2],[2,1]], find (AB)^(T)

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] and B_(n) = adj (B_(n-1)),n inN and I is an dientity matrix of order 3. det (A_(0) + A_(0)^(2) B_(0) ^(2) + A_(0)^(2) + A_(0) ^(4) B_(0)^(4) + ... upto 12 terms ) is equal to

If A=[[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (i) (A+B)'=A'+B' (ii) (A-B)'=A'-B'

If A=[a_(i j)] is a matrix given by A=[a_(i j)]=[4 5 21 -2 7 15 1 9 18 3 6-25] write the order of A and find the elements a_(24), a_(34) . Also, show that a_(32)=a_(23)+a_(24) .

If a and b are distinct positive real numbers such that a, a_(1), a_(2), a_(3), a_(4), a_(5), b are in A.P. , a, b_(1), b_(2), b_(3), b_(4), b_(5), b are in G.P. and a, c_(1), c_(2), c_(3), c_(4), c_(5), b are in H.P., then the roots of a_(3)x^(2)+b_(3)x+c_(3)=0 are

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

Let A and B be two sets such that n(A) = 5 and n(B) = 2 . If (a_(1), 2), (a_(2), 3), (a_(3), 2), (a_(4), 3), (a_(5), 2) are in A xx B and a_(1), a_(2), a_(3), a_(4) and a_(5) are distinct, find A and B.

If {[([3,1,2],[8,9,5],[1,1,3])([1,3,3],[3,2,7],[3,7,9])([3,8,1],[1,9,1],[2,5,3])])}^(2)=([a_(1),a_(2),a_(3)],[b_(1),b_(2),b_(3)],[c_(1),c_(2),c_(3)]) then the value of |a_(2)-b_(1)|+|a_(3)-c_(1)|+|b_(3)-c_(2)| is

Given a_(i)^(2) + b_(i)^(2) + c_(i)^(2) = 1, i = 1, 2, 3 and a_(i) a_(j) + b_(i) b_(j) + c_(i) c_(j) = 0 (i !=j, i, j =1, 2, 3) , then the value of the determinant |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))| , is