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Write Minors and Cofactors of the Elements of Following Determinants: |(A,C),(B,D)| - CBSE (Commerce) Class 12 - Mathematics

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Question

Write Minors and Cofactors of the elements of following determinants:

`|(a,c),(b,d)|`

Solution

The given determinant is `|(a,c),(b,d)|`

Minor of element aij is Mij.

∴M11 = minor of element a11 d

M12 = minor of element a12 b

M21 = minor of element a21 c

M22 = minor of element a22 a

Cofactor of aij is Aij = (−1)i + j Mij.

∴A11 = (−1)1+1 M11 = (−1)2 (d) = d

A12 = (−1)1+2 M12 = (−1)3 (b) = −b

A21 = (−1)2+1 M21 = (−1)3 (c) = −c

A22 = (−1)2+2 M22 = (−1)4 (a) = a

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Solution Write Minors and Cofactors of the Elements of Following Determinants: |(A,C),(B,D)| Concept: Minors and Co-factors.
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