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Solution - Using Cofactors of Elements of Third Column, Evaluate Triangle = |(1,X,Yz),(1,Y,Zx),(1,Z,Xy)| - Minors and Co-factors

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

NCERT Mathematics Textbook for Class 12 Part 1
Chapter 4: Determinants
Q: 4 | Page no. 126

Reference Material

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