Chapter 4: Q4. (page 194)

Find the value of each determinant.
4.
$|\begin{matrix} 3 & - 2 \\ 5 & 4 \end{matrix}|$

Short Answer

Expert verified

The value of the given determinant is 22.

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 $|\begin{matrix} 3 & - 2 \\ 5 & 4 \end{matrix}|$ is given by:

$\begin{matrix} |\begin{matrix} 3 & - 2 \\ 5 & 4 \end{matrix}| = (3) (4) - (5) (- 2) \\ = 12 - (- 10) \\ = 12 + 10 \\ = 22 \end{matrix}$

- Description of step.

The value of the given determinant is 22.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the value of each determinant.
4.
$|\begin{matrix} 3 & - 2 \\ 5 & 4 \end{matrix}|$

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

Discrete Mathematics

Theoretical and Mathematical Physics

Geometry

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.4. 3-254

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

Discrete Mathematics

Theoretical and Mathematical Physics

Geometry

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.
4.
$|\begin{matrix} 3 & - 2 \\ 5 & 4 \end{matrix}|$

- Description of step.

- Find the value of the determinant.

- Description of step.