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Question

Do determinants multiply?


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Solution

Determinant : Yes, two determinants can be multiplied together. This can be done if they have the same order.

The rule for multiplying two determinants of 3x3 order is given below:

Take the first row of the first determinant and multiply it successively with 1st,2ndand3rd rows of another (determinant to be multiplied with) determinant.

The three expressions thus we get will be elements of the1st row of the resultant determinant.

Similarly, we can get the elements of 2nd&3rd rows of a determinant.

Hence, Determinants can be multiplied.


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