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]|`

Evaluate the determinant of A=[[3, -1, 2],[ 1, 2, -1],[ 4, 0, 5]]

Evaluate the determinant of A=[[1 , 3 , 2],[ 2, 0, 1 ],[ 3 , 4, 3]]

Evaluate the following determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

Evaluate the following determinants |[2,-1,-2],[0,2,-1],[3,-5,0]|

Evaluate the determinant Delta=|[1, 2, 4],[ -1, 3, 0],[ 4 , 1, 0]|

Evaluate the following determinants |[0,1,2],[-1,0,-3],[-2,3,0]|

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]]

Find the adjoint of the matrix [[1 , -1, 2],[ 2, 3, 5],[ -2, 0, 1]]

If A=[[1 , 2, 3],[ 2, 3 , 1]] and B=[[3, -1, 3],[ -1, 0, 2]] , then find 2 A-B .

Show that i) [[5 , (-1)],[ 6, 7]][[2, 1],[ 3 ,4]] ne[[2 , 1 ],[3 , 4]][[5, (-1)],[ 6 ,7]] ii) [[1, 2 , 3],[ 0 , 1, 0],[ 1 , 1, 0]][[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] ne[[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] [[1 , 2, 3],[ 0, 1, 0],[ 1, 1, 0]] .