Chapter 4: Q44. (page 194)

Find the value of each determinant.
44.
$|\begin{matrix} - 5 & 2 \\ 4 & 9 \end{matrix}|$

Short Answer

Expert verified

The value of the given determinant is $- 53$ .

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 $|\begin{matrix} - 5 & 2 \\ 4 & 9 \end{matrix}|$ is given by:

$\begin{matrix} |\begin{matrix} - 5 & 2 \\ 4 & 9 \end{matrix}| = (- 5) (9) - (4) (2) \\ = - 45 - 8 \\ = - 53 \end{matrix}$

- Description of step.

The value of the given determinant is $- 53$ .

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Find the value of each determinant.
44.
$|\begin{matrix} - 5 & 2 \\ 4 & 9 \end{matrix}|$

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.44. -5249

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

Applied Mathematics

Mechanics Maths

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.
44.
$|\begin{matrix} - 5 & 2 \\ 4 & 9 \end{matrix}|$

- Description of step.

- Find the value of the determinant.

- Description of step.