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Monday, August 29, 2016

Product of determinants

Let  and  be two determinants. Then, the product Δ1Δ2 is defined as 


This is row-by-column multiplication value for finding the product of two determinants and it is same as the rule of multiplication of two matrices. Since the value of a determinant does not alter by interchanging the rows and columns. So, we can also follow the row-by-row or the column –by-row or column-by-column multiplication rule.



Ex:
If . Show that 
Sol:

We have,

 

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