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प्रश्न
Write Minors and Cofactors of the elements of the following determinant:
`|(2,-4),(0,3)|`
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उत्तर
The given determinant is `|(2,-4),(0,3)|`.
Minor of element aij is Mij.
∴ M11 = Minor of element a11 = 3
M12 = Minor of element a12 = 0
M21 = Minor of element a21 = −4
M22 = Minor of element a22 = 2
Cofactor of aij is Aij = (−1)i + j Mij
A11 = (−1)1+1 M11
= (−1)2 (3)
= 3
A12 = (−1)1+2 M12
= (−1)3 (0)
= 0
A21 = (−1)2+1 M21
= (−1)3 (−4)
= 4
A22 = (−1)2+2 M22
= (−1)4 (2)
= 2
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