Given the matrix , find its determinant
The determinant is:
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To find the determinant of the matrix , you can use the formula for a 3x3 matrix:

Here, , which in this case gives you:

Plugging in these values, we get:

Calculating each term:

Adding these together:

So, the determinant of the matrix is .

Oh, but wait! If you find the calculation too daunting, you’re not alone. Many people tend to forget the order of operations or misplace signs. Always double-check your signs—especially with negatives! And if you feel overwhelmed, break it down into smaller parts and tackle each term individually. Practice will make you quicker!