Chapter 4: Q55. (page 188)

Use a graphing calculator to find the value of the following determinant.
$|\begin{matrix} 10 & 12 & 4 \\ - 3 & 18 & - 9 \\ 16 & - 2 & - 1 \end{matrix}|$

Short Answer

Expert verified

The value of the determinant is $- 3252$ .

Step by step solution

Step 1- Apply the concept of determinant.

The determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Step 2- Step description.

Consider the determinant $|\begin{matrix} 10 & 12 & 4 \\ - 3 & 18 & - 9 \\ 16 & - 2 & - 1 \end{matrix}|$ .

Use a graphing calculator and find the value of the determinant as follows:

$\begin{array}{l} = 10 (- 36) - 12 (147) + 4 (- 282) \\ = - 3252 \end{array}$

Step 3- Step description.

Therefore, the value of the determinant is $- 3252$ .

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Use a graphing calculator to find the value of the following determinant.
$|\begin{matrix} 10 & 12 & 4 \\ - 3 & 18 & - 9 \\ 16 & - 2 & - 1 \end{matrix}|$

Short Answer

Step by step solution

Step 1- Apply the concept of determinant.

Step 2- Step description.

Step 3- Step description.

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Use a graphing calculator to find the value of the following determinant.10124-318-916-2-1

Short Answer

Step by step solution

Step 1- Apply the concept of determinant.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Pure Maths

Logic and Functions

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Use a graphing calculator to find the value of the following determinant.
$|\begin{matrix} 10 & 12 & 4 \\ - 3 & 18 & - 9 \\ 16 & - 2 & - 1 \end{matrix}|$