Home
Class 12
MATHS
Consider the determinant, Delta=|(p,q,r)...

Consider the determinant, `Delta=|(p,q,r),(x,y,z),(l,m,n)|` .
`M_(ij)` denotes the minor of an element in `i^(th)` row, and `j^(th)` column
`C_(ij)` denotes the cofactor of an element in `i^(th)` row and `j^(th)` column
The value of `p.C_21+q.C_22+r.C_23` is :

A

1

B

`-Delta`

C

`Delta`

D

`Delta^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M_(ij) denotes the minor of an element in i^(th) row, and j^(th) column C_(ij) denotes the cofactor of an element in i^(th) row and j^(th) column The value of x.C_21+y.C_22+z.C_23 is :

Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M_(ij) denotes the minor of an element in i^(th) row, and j^(th) column C_(ij) denotes the cofactor of an element in i^(th) row and j^(th) column the value of q.M_12 - y.M_22+ m.M_32 is :

Let A be a matrix of order 3xx4 . If R_1 denotes the first row of A and C_2 denotes its second column, then determine the orders of matrices R_1 and C_2 .

If a,b,c are p^(th) , q^(th) and r^(th) term of an AP and GP both, then the product of the roots of equation a^b b^c c^a x^2 - abcx + a^c b^c c^a = 0 is equal to :

Write the duals of the following statements : (i) ( p vv q) ^^t (ii) p vv t) ^^ r (iii) ( p vv q) vv c Where t denotes tautology and c denotes contradiction.

Which of the following is not correct in a given determinant of A , where A=([a_(i j)])_(3x3) (A).Order of minor is less than order of the det (A) (B).Minor of an element can never be equal to cofactor of the same element (C).Value of a determinant is obtained by multiplying elements of a row or column by corresponding cofactors (D).Order of minors and cofactors of elements of A is same

Let A=[a_("ij")] be 3xx3 matrix and B=[b_("ij")] be 3xx3 matrix such that b_("ij") is the sum of the elements of i^(th) row of A except a_("ij") . If det, (A)=19 , then the value of det. (B) is ________ .

Which of the following is not correct in a given determinant of A , where A=([a_(i j)])_(3x3) A. Order of minor is less than order of the det(A) B. Minor of an element can never be equal to cofactor of the same element C. Value of a determinant is obtained by multiplying elements of a row or column by corresponding cofactors D. Order of minors and cofactors of elements of A is same

If A = |(a,b,c),(x,y,z),(p,q,r)| and B = |(q,-b,y),(-p,a,-x),(r,-c,z)| , then

If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then write the value of x^(q-r) y^(r-p) z^(p-q).