Matrix `A=[(1,2,3),(1,1,5),(2,4,7)]`, then the value of `a_(31)A_(31)+a_(32)A_(32)+a_(33)A_(33)` is

If A=[(1,2,1),(3,2,3),(2,1,2)] , then a_(11) A_(11)+a_(21) A_(21)+a_(31) A_(31)=

If A=[(1,2,1),(3,2,3),(2,1,2)] , then a_(11) A_(11)+a_(21) A_(21)+a_(31) A_(31)=

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

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

If A= |(3,2,-1),(1,0,2),(-2,1,2)| Prove that (i) a_(11)A_(11)+a_(12)A_(12)+a_(13)A_(13)=det(A) (ii) a_(21)A_(11)+a_(22)A_(12)+a_(23)A_(13)=0

If A_(ij) is the cofactor of the element a_(ij) of the determinant |(2,-3,5),(6,0,4),(1,5,-7)| , then write the value of a_(32)., A_(32) .

If A_("ij") is the cofactor of the element a_("I j") of the determinant |(2,-3,5),(6,0,4),(1,5,-7)| , then write the value of a_(32). A_(32) .

If Delta=|(a_(11), a_(12), a_(13) ),(a_(21), a_(22), a_(23)),(a_(31), a_(32), a_(33))| and A_(i j) is cofactors of a_(i j) , then value of Delta is given by (A) a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33) (B) a_(11)A_(11)+a_(12)A_(21)+a_(13)A_(31) (C) a_(21)A_(11)+a_(22)A_(12)+a_(23)A_(13) (D) a_(11)A_(11)+a_(21)A_(21)+a_(31)A_(31)

If Delta=|[a_(11), a_(12 ), a_(13)], [a_(21), a_(22), a_(23)],[ a_(31) , a_(32), a_(33)]| and A_(i j) is cofactors of a_(ij) , then value of Delta is given by i) a_(11) A_(31)+a_(12) A_(32)+a_(13) A_(33) ii) a_(11) A_(11)+a_(12) A_(21)+a_(13) A_(31) iii) a_(21) A_(11)+a_(22) A_(12)+a_(23) A_(13) iv) a_(11) A_(11)+a_(21) A_(21)+a_(31) A_(31)