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Concepts and Vocabulary

$$

\left|\begin{array}{ll}

{-4} & {2} \\

{-5} & {3}

\end{array}\right|

$$

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Numerade Educator

University of Texas at Austin

University of Washington

Michigan State University

The determinant of this matrix can be calculated by multiplying the diagonals of the values in this array. And we can see that negative four times three minus negative, five times. Two. Once we find these products, we want to subtract them to find the value of the determinant. So here we have a product of negative 12 minus negative 10. And when we simplify this statement, we get negative 12 plus 10 which gives us a value of negative, too.