Find the Value of the Determinant $$\left| \begin{array} { l l } - 5 & - 3 \\b & a\end{array} \right|$$

question 459

Multiple Choice

Find the value of the determinant.
- $$\left| \begin{array} { l l } - 5 & - 3 \\b & a\end{array} \right|$$

• A) \(- 5 a + 3 b\)
• B) ba - 15
• C) \(15 - a b\)
• D) \(5 a - 3 b\)

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Definitions:

Hinge Joint

A type of joint that allows motion in one plane, similar to the movement of a door hinge, such as the elbow or knee.

Saddle

A supportive structure placed on the back of an animal for riding or an engineering component designed to spread load.

Longitudinal Axis

An imaginary line running from the top to the bottom of an object, defining its vertical orientation.

Rotation

The act of turning around an axis or center point.