Q. 1 A4.1( 30 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


M21 = 20


C11 = (–1)1+1 × M11


= 1 × –1


= –1


C21 = (–1)2+1 × M21


= 20 × –1


= –20


Now expanding along the first column we get


|A| = a11 × C11 + a21× C21


= 5× (–1) + 0 × (–20)


= –5


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