Q. 1 C3.8( 8 Votes )

Write the minors

Answer :

Let Mij and Cij represents the minor and co–factor of an element, where i and j represent the row and column.

The minor of the matrix can be obtained for a particular element by removing the row and column where the element is present. Then finding the absolute value of the matrix newly formed.


Also, Cij = (–1)i+j × Mij




M11 = –1×2 – 5×2


M11 = –12



M21 = –3×2 – 5×2


M21 = –16



M31 = –3×2 – (–1) × 2


M31 = –4


C11 = (–1)1+1 × M11


= 1 × –12


= –12


C21 = (–1)2+1 × M21


= –1 × –16


= 16


C31 = (–1)3+1 × M31


= 1 × –4


= –4


Now expanding along the first column we get


|A| = a11 × C11 + a21× C21+ a31× C31


= 1× (–12) + 4 × 16 + 3× (–4)


= –12 + 64 –12


= 40


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