If `A=1/9[-8 1 4 4 4 7 1-8 4]` , prove that `A^(-1)=A^T` .

If t = 1 - 1/8 + (1.3)/(8.16) -(1.3.5)/(8.16.24) + …… then prove that 5t^2 = 4

If A=[{:(9, 7, 3), (5, -1, 4), (6, 8, 2):}]" find "A^(-1) and hence solve the system of equations: 9x+7y+3z=6, 5x-y+4z=1, 6x+8y+2z=4 .

Prove that: (sec4A-1)/(sec8A-1)=tan2A. cot8A

.If A=[[1,4,7],[2,5,8]] and B=[[-3,4,0],[4,-2,-1]] then show that (A+B)^T=A^T+B^T

If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is (a) [(2, 2,-4 ),(2, 3, 4),(-4, 4, 2)] (b) [(2, 4,-5),( 0, 3, 7),(-3, 1, 2)] (c) [(4, 4,-8),( 4, 6, 8),(-8, 8, 4)] (d) [(1, 0 ,0 ),(0 ,1 ,0),( 0, 0, 1)]

The points (5, -4, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the vertices of a

Prove that: cos4A=1-8cos^2\ A+8cos^4\ A

If A = {1,3,5,9} and B={ 1,2,3,4,7,8} , then A cup B is

Prove that: a^(1/2).a^(1/4).a^(1/8),…….to oo=a.

Let A = { 1,2,3,4,5,6,7,8,9 , 10 ,1 1 , 12, } Write the subset of A containing: all multiples of 4.