Find the minors and co-factors of the elements `a_(11),a_(21) and a_(31) of the determinant:
`{:|(a_11,a_12,a_13),(a_21,a_22,a_23),(a_31,a_32,a_33)|`

Find minors and cofactors of the elements a_11 and a_21 in the determinant triangle = |[a_11,a_12,a_13],[a_21,a_22,a_23],[a_31,a_32,a_33]|

Find minors and cofactors of the elements of the determinant abs{:(2,-3,5),(6,0,4),(1,5,-7):} and verify a_(11) C_(31) + a_(12) C_(32) + a_(13) C_(33 ) = 0 .

Find minors and cofactors of the elements of the determinant |[2,-3,5],[6,0,4],[1,5,-7]| and verify that a_11A_31+a_12A32+a_13A_33 = 0

If Delta=|{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}| and C_(ij)=(-1)^(i+j) M_(ij), "where " M_(ij) is a determinant obtained by deleting ith row and jth column then then |{:(C_(11),C_(12),C_(13)),(C_(21),C_(22),C_(23)),(C_(31),C_(32),C_(33)):}|=Delta^(2). Suppose a,b,c, in R, a+b+c gt 0, A =bc -a^(2),B =ca-b^(2) and c=ab-c^(2) and |{:(A,B,C),(B,C,A),(C,A,B):}| =49 then the valu of a^(3)+b^(3)+c^(3) -3abc is

If Delta=|{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}| then cofactor of a_23 represented as

If triangle = |[a_11,a_12,a_13],[a_21,a_22,a_23],[a_31,a_32,a_33]| and A_ij is Cofactors of a_ij , then value of triangle is given by :

Delta=|(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33))| and A_(ij) is cofactor of a_(ij) then value of Delta is given by

In the matrix A = [[2,5,19,-7],[35,-2,5/2,12],[sqrt3,1,-5,17]] , write: write the elements a_13, a_21, a_33, a_24, a_23