CBSE (Arts) Class 12CBSE
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - Using Cofactors of Elements of Third Column, Evaluate Triangle = |(1,X,Yz),(1,Y,Zx),(1,Z,Xy)| - CBSE (Arts) Class 12 - Mathematics

Question

Using Cofactors of elements of third column, evaluate `triangle = |(1,x,yz),(1,y,zx),(1,z,xy)|`

Solution

The given determinant is  `|(1,x,yz),(1,y,zx),(1,z,xy)|`

We have:

∴A13 = cofactor of a13 = (−1)1+3 M13 = (z − y)

A23 = cofactor of a23 = (−1)2+3 M23 = − (z − x) = (x − z)

A33 = cofactor of a33 = (−1)3+3 M33 = (y − x)

We know that Δ is equal to the sum of the product of the elements of the second row with their corresponding cofactors.

Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Reference Material

Solution for question: Using Cofactors of Elements of Third Column, Evaluate Triangle = |(1,X,Yz),(1,Y,Zx),(1,Z,Xy)| concept: null - Minors and Co-factors. For the courses CBSE (Arts), CBSE (Science), CBSE (Commerce)
S