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Solution for Write Minors and Cofactors of the Elements of Following Determinants: |(1,0,0),(0,1,0),(0,0,1)| - CBSE (Arts) Class 12 - Mathematics

Question

Write Minors and Cofactors of the elements of following determinants:

`|(1,0,0),(0,1,0),(0,0,1)|`

Solution

The given determinant is `|(1,0,0),(0,1,0),(0,0,1)|`

By the definition of minors and cofactors, we have:

A11 = cofactor of a11= (−1)1+1 M11 = 1

A12 = cofactor of a12 = (−1)1+2 M12 = 0

A13 = cofactor of a13 = (−1)1+3 M13 = 0

A21 = cofactor of a21 = (−1)2+1 M21 = 0

A22 = cofactor of a22 = (−1)2+2 M22 = 1

A23 = cofactor of a23 = (−1)2+3 M23 = 0

A31 = cofactor of a31 = (−1)3+1 M31 = 0

A32 = cofactor of a32 = (−1)3+2 M32 = 0

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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 12 Part 1 (with solutions)
Chapter 4: Determinants
Q: 2.1 | Page no. 126

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Solution for question: Write Minors and Cofactors of the Elements of Following Determinants: |(1,0,0),(0,1,0),(0,0,1)| concept: Minors and Co-factors. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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