If in the determinant `|(x,3,3),(3,3,x),(2,3,3)|`, `C_(11)=C_(22)` where `C_(ij)` is cofactor of element `a_(ij)` then x=

Let A = [ a_(ij) ] be a square matrix of order 3xx 3 and |A|= -7. Find the value of a_(11) A_(11) +a_(12) A_(12) + a_(13) A_(13) where A_(ij) is the cofactor of element a_(ij)

Given that A = [a_(ij)] is a square matrix of order 3 xx 3 and |A| = −7 , then the value of Sigma_i=1^(3) a_(12) A_(12) , where A_(ij) denotes the cofactor of element a_(ij) is:

Given that A = [a_(ij)] is a square matrix of order 3 xx 3 and |A| = - 7 , then the value of sum_(i=1)^3a_(i2)A_(i2) where A_(ij) denotes the cofactor of element a_(ij) 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") 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") 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") 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

If A=[a_(ij)]_(2×3) such that a_(ij)=i+j then a 11=

if a_(ij) is the element in the ith row and jth column of a 3rd order determinant whose value is 1 and c_(ij) is the cofactor of a_(ij) then what is value of a_11(c_11+c_21)+a_12(c_12+c_22)+a_13(c_13+c_23) ?

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______