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Determinant of Order Two

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notes

`|[a,b],[c,d]|` is a determinant. (a, b), (c, d) are rows and `([a],[c]), ([b],[d])` are columns.

Degree of this determinant is 2, because there are 2 elements in each column and 2 elements in each row. Determinant represents a number which is (ad-bc).

ad-bc is the value of determinant `|[a,b],[c,d]|`

Determinants, usually, are represented with capital letters as A, B, C, D, . . . . . etc.

Example: Find the values of the following determinant. 

`A=|[5,3],[7,9]|`

Solution: 

`A=|[5,3],[7,9]| = (5xx9)-(3xx7)=45-21=24`

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