Verify Property 2 for `Delta=|[2 , -3, 5],[ 6, 0, 4],[ 1, 5, -7]|`

Verify Property 1 for Delta=|[2 ,-3, 5],[ 6, 0, 4],[ 1, 5, -7]|

Find minors and cofactors of the elements of the determinant |[2, -3, 5],[ 6, 0, 4],[ 1 , 5, -7]| and verify that a_(11) A_(31)+a_(12) A_(32)+a_(13) A_(33)=0

Using cofactors of element of second row evaluate Delta=|[5, 3, 8],[ 2, 0, 1],[ 1, 2, 3]|

Find the minors and co-factors of the elements 1,-3 and 4 in Delta=|[2, 1, 0 ],[-3 , 5 , -2],[ 6, 9, 4]|

Find minors of element 6 in the determinant Delta=|[ 1, 2, 3],[ 4, 5, 6],[ 7 , 8, 9]|

Find the minor of 1 in the determinant Delta=|[3, 4, 5 ],[2, 7, 1],[ 9, 2, 6]|

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]]

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]] .

If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ 4, 2, 5],[ 2, 0, 3]] and C=[[4 ,1 , 2],[ 0, 3, 2],[ 1, -2, 3]] then compute (A+B) and (B-C) . Also verify that A+(B-C)=(A+B)-C

If A=[[-1, 2, 3],[ 5, 7, 9],[ -2, 1 , 1]] and B=[[-4 , 1, -5],[ 1, 2, 0],[ 1, 3, 1]] then verify that (i) (A+B)^'=A^'+B^'