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Example 21 - Chapter 4 Class 12 Determinants (Term 1)
Last updated at Dec. 8, 2016 by Teachoo
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Chapter 4 Class 12 Determinants
Serial order wise
Transcript
Example 21 Find minors and cofactors of the elements a11, a21 in the determinant ∆ = a11a12a13a21a22a23a31a32a33 Minor of a11 = M11 = a11a12a13a21a22a23a31a32a33 = a22a23a32a33 = a22 a33 – a23 a32 Minor of a21 = M21 = a11a12a13a21a22a23a31a32a33 = a12a13a32a33 = a12 a33 – a32 a13 Cofactor of a11 = A11 = ( – 1)1+1 . M11 = ( –1)2 . (a22 a33 – a32 a23) = a22 a33 – a32 a23 Cofactor of a21 = A21 = ( – 1)2+1 . M21= ( – 1)3 . (a12 a33 – a32 a13) = ( – 1) . (a12 a33 – a32 a13) = a32 a13 – a12 a33
