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Find the mirrors and cofactors of the e...

Find the mirrors and cofactors of the elements of the determinant
`Delta = |{:(a_(11), a_(12), a_(13)), (a_(21), a_(22), a_(23)), (a_(31), a_(32), a_(33)):}|`

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Find the minors and cofactors of the elements of the determinant Delta = |{:(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),a_(21) in the determinant Delta=det[[a_(21),a_(22),a_(23)a_(31),a_(32),a_(23)]]

Find minors and cofactors of the elements of the determinant det[[2,-3,56,0,41,5,-7]]a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0

Let A=[a_("ij")]_(3xx3) be a matrix such that A A^(T)=4I and a_("ij")+2c_("ij")=0 , where C_("ij") is the cofactor of a_("ij") and I is the unit matrix of order 3. |(a_(11)+4,a_(12),a_(13)),(a_(21),a_(22)+4,a_(23)),(a_(31),a_(32),a_(33)+4)|+5 lambda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then the value of lambda is

Let A=[a_(ij)]_(3xx3) be a matrix such that A.A^(T)=4I and a_(ij)+2c_(ij)=0 where c_(ij) is the cofactor of a_(ij) AAi & j , I is the unit matrix of order 3 and A^(T) is the transpose of the matrix A If |(a_(11)+4,a_(12), a_(3)),(a_(21),a_(22)+4,a_(24)),(a_(31),a_(32),a_(33)+4)|+5lamda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then lamda=a/b where a and b are coprime positive integers then the value of a+b is______

Find minors and co-factors 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

(a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=(2a_(2))/(a_(2)+a_(3))

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