Find minors and cofactors of the elements `a_(11), a_(21)` in 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 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 the minors and cofactors of a_(11), a_(1 2) and a_(13) of the matrix A=[[1, -1, 3],[ 2, 2, -1],[ -1, 3, 5]]

If a_(1), a_(2), a_(3),…….,a_(20) are in AP and a_(1) + a_(20) = 45 , then a_(1) + a_(2) + a_(3)+……+a_(20) is equal to

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)

Let a_(1),a_(2),a_(3),a_(4) and a_(5) be such that a_(1), a_(2) and a_(3) are in A.P. a_(2) ,a_(3) and a_(4) are in G.P and a_(3) ,a_(4) and a_(5) are in H.P . Then a_(1) ,a_(3) and a_(5) are in

If a_(r) =(cos 2 r pi + i sin 2 r pi)^(1/9) , then the value of |(a_(1),a_(2),a_(3)),(a_(4),a_(5),a_(6)),(a_(7),a_(8),a_(9))| a)1 b)-1 c)0 d)None of these

If A=[a_(ij)]_(2xx2) where a_(ij)=i+j , then A is equal to a) [(1,1),(2,2)] b) [(1,2),(1,2)] c) [(1,2),(3,4)] d) [(2,3),(3,4)]

If a_(1), a_(2), …, a_(50) are in GP, then " "(a_(1)-a_(3)+a_(5)-…+a_(49))/(a_(2)-a_(4)+a_(6)-…+a_(50)) is equal to :

If e^(e^(x))=a_(0)+a_(1)x+a_(2)x^(2)+…, then : a) a_(0)=1 b) a_(0)=e c) a_(0)=e^(e) d) a_(0)=e^(2)