Determinant of an n×n matrix, Mathematics

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How can we calculate the Determinant of an N×N Matrix?


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The determinant of an n×n matrix can be calculated by adding the products of the element in any row or column multiplied by their cofactors. If we utilized the symbol ? for determinant

Then ? = aA + bB + cC

Or = dD + eE + fF

Note: generally for calculation purposes we obtain ? = aA + bB + cC

Thus in the example under discussion

? = (4 *-3) + (2 * 2) + (3 * 3) = 1

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