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

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 .

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 :

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

Let A be nxxn matrix given by A=[(a_(11),a_(12),a_(13)……a_(1n)),(a_(21),a_(22),a_(23)…a_(2n)),(vdots, vdots, vdots),(a_(n1),a_(n2),a_(n3).a_("nn"))] Such that each horizontal row is arithmetic progression and each vertical column is a geometrical progression. It is known that each column in geometric progression have the same common ratio. Given that a_(24)=1,a_(42)=1/8 and a_(43)=3/16 Let d_(i) be the common difference of the elements in with row then sum_(i=1)^(n)d_(i) is

Let A be nxxn matrix given by A=[(a_(11),a_(12),a_(13)……a_(1n)),(a_(21),a_(22),a_(23)…a_(2n)),(vdots, vdots, vdots),(a_(n1),a_(n2),a_(n3).a_("nn"))] Such that each horizontal row is arithmetic progression and each vertical column is a geometrical progression. It is known that each column in geometric progression have the same common ratio. Given that a_(24)=1,a_(42)=1/8 and a_(43)=3/16 .Let Di be the common difference of i^(th) row The value of lim_(nto oo)sum_(i=1)^(n)D_(i) is equal to

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