If `A=[(3,3,5),(2,3,4),(5,2,3)].` Prove that `AI_3=I_3A.`

If A=[[3,3,52,3,45,2,3]]. Prove that AI_(3)=I_(3)A

If A=[[5,-3],[4,-3],[-2,1]] ,prove that (A^T)^T=A

Prove that 2/3ltlog_10 5<3/4

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] , then show that A is hermitian matrix.

If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] then A is

If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I_3 .

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}