Find the transpose of each of the following matrices: (i) `[[5], [1/2], [-1]]` ii) `[[1, -1],[ 2, 3]]` (iii) `[[-1, 5, 6],[ sqrt3, -5, 6],[ 2, 3, -1]]`

Find the transpose of each of each of the following matrics: [[5],[1/2],[-1]]

Find the transpose of each of each of the following matrics: [[1,2],[-1,3]]

Find the transpose of each of each of the following matrics: [[-1,5,6],[sqrt3,5,6], [2,3,-1]]

Find the inverse of the following matrics. [[-1,5],[-3,2]]

Find the inverse of each of the matrices [[1, 2, 3],[ 0, 2, 4],[ 0, 0, 5]]

Find the union of each of the following pairs of sets: X = {1,3,5} Y = {1,2,3}

Evaluate the following determinants |[3,-4,5],[1,1,-2],[2,3,1]|

Find A^2-5 A+6 I , if A=[[2, 0, 1],[ 2 ,1 , 3],[ 1, -1, 0]]

Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b, a]] ii) [[1], [ 2], [3]][[2, 3 ,4]] iii) [[1, (-2)],[ 2 ,3]] [[1 , 2 ,3],[ 2, 3 , 1]] iv) [[2 , 3 , 4 ],[ 3 , 4 , 5 ],[ 4, 5 ,6]] [[1 , -3, 5],[ 0, 2, 4],[ 3, 0, 5]] v) [[2 , 1],[ 3 , 2],[ (-1), 1]] [[1, 0 , 1],[ (-1), 2, 1]] vi) [[3, (-1), 3],[ (-1), 0, 2]][[2, -3],[ 1 , 0],[ 3, 1]]

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]|