[,3,-1,-2],[0,0,-1],[3,-5,0]|

If A=[[-3,1,2],[0,0,1],[-3,5,0]] ,then 8|A|

Evaluate the determinants (i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:} (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}

If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

Compute the following: [[2,3,1],[5,-1,2],[0,3,5]]+[[1,-2,3],[-3,1,5],[6,2,0]]

Compute the following: [[2,3,1],[5,-1,2],[0,3,5]]+[[1,-2,3],[-3,1,5],[6,2,0]]

[(1,3,-2),(-3,0,-5),(2,5,0)] =A [(1,0,0),(0,1,0),(0,0,1)] then, C_(2) rarr C_(2)-3C_(1) and C_(3) rarr C_(3) +2C_(1) gives... [(1,0,0),(3,-9,11),(-2,1,4)] =A [(-1,3,2),(0,-1,0),(0,0,-1)] [(1,0,0),(-3,-1,-4),(2,-9,11)] =A [(1,-3,2),(0,1,0),(0,0,1)] [(1,0,0),(-3,1,4),(-2,9,-11)] =A [(-1,3,2),(0,-1,0),(0,0,-1)] [(1,0,0),(-3,9,-11),(2,-1,4)] =A [(1,-3,2),(0,1,0),(0,0,1)]

If A= [[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],[-2,5,3]] impliesA'=[[1,0,-2],[2,1,5],[0,3,3]] A+A' is symmetric