Chapter 4: Q42. (page 194)

Find the value of each determinant.
42.
$|\begin{matrix} 3 & 2 \\ - 2 & 4 \end{matrix}|$

Short Answer

Expert verified

The value of the given determinant is 16.

Step by step solution

- Description of step.

The value of a second-order determinant can be found out by calculating difference of product of two diagonals.

$|\begin{matrix} a & b \\ c & d \end{matrix}| = a d - b c$

- Find the value of the determinant.

The value of the determinant $|\begin{matrix} 3 & 2 \\ - 2 & 4 \end{matrix}|$ is given by:

$\begin{matrix} |\begin{matrix} 3 & 2 \\ - 2 & 4 \end{matrix}| = (3) (4) - (- 2) (2) \\ = 12 - (- 4) \\ = 12 + 4 \\ = 16 \end{matrix}$

- Description of step.

The value of the given determinant is 16.

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Find the value of each determinant.
42.
$|\begin{matrix} 3 & 2 \\ - 2 & 4 \end{matrix}|$

Short Answer

Step by step solution

- Description of step.

- Find the value of the determinant.

- Description of step.

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Find the value of each determinant.42. 32-24

Short Answer

Step by step solution

­- Description of step.

­- Find the value of the determinant.

­- Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.
42.
$|\begin{matrix} 3 & 2 \\ - 2 & 4 \end{matrix}|$

- Description of step.

- Find the value of the determinant.

- Description of step.