Evaluate $3 \times 3$ Determinant $$\left| \begin{array} { c c c } 5 & - 7 & - 4 \\9 & - 4 & 3 \\3 & 0 & 0\end{array} \right|$$

question 33

Short Answer

Evaluate $3 \times 3$ determinant. $$\left| \begin{array} { c c c } 5 & - 7 & - 4 \\9 & - 4 & 3 \\3 & 0 & 0\end{array} \right|$$ Use the properties of determinants to your advantage. Please enter your answer as a number.

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Definitions:

Disjunction

A logical operation that forms a compound statement from two statements, true if at least one of the statements is true.

Mutually Exclusive

Two or more events that cannot occur at the same time.

Compatible

Two events are compatible if they could both occur.

Coin Flipped

A metaphorical expression used to describe an event that has an equal probability of occurring in one of two ways.