Q48. Find the value of det A if 聽聽A... [FREE SOLUTION]

Chapter 4: Q48. (page 187)

Find the value of det A if $A = [\begin{matrix} 0 & 3 & 鈭� 2 \\ 鈭� 4 & 0 & 1 \\ 3 & 2 & 0 \end{matrix}]$ .
$A . 0 B. 12 C. 25 D. 36$

Short Answer

Expert verified

The value of the determinant is $| A | = 25$ .

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 matrix $A = (\begin{matrix} 0 & 3 & 鈭� 2 \\ 鈥� 鈭� 4 & 0 & 1 \\ 鈥� 3 & 2 & 0 \end{matrix})$ .

find the value of the determinant as follows:

$\begin{matrix} | A | = 0 鈰� \det (\begin{matrix} 0 & 1 \\ 2 & 0 \end{matrix}) 鈭� 3 鈰� \det (\begin{matrix} 鈭� 4 & 1 \\ 3 & 0 \end{matrix}) 鈭� 2 鈰� \det (\begin{matrix} 鈭� 4 & 0 \\ 3 & 2 \end{matrix}) \\ = 0 鈰� (鈭� 2) 鈭� 3 (鈭� 3) 鈭� 2 (鈭� 8) \\ = 25 \end{matrix}$

Step 3- Step description.

Therefore, the value of the determinant is 25.

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91影视

Find the value of det A if $A = [\begin{matrix} 0 & 3 & 鈭� 2 \\ 鈭� 4 & 0 & 1 \\ 3 & 2 & 0 \end{matrix}]$ .
$A . 0 B. 12 C. 25 D. 36$

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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91影视

Find the value of det A if A=03鈭�2鈭�401320.A.0 B. 12 C. 25 D. 36

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

Logic and Functions

Statistics

Calculus

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the value of det A if $A = [\begin{matrix} 0 & 3 & 鈭� 2 \\ 鈭� 4 & 0 & 1 \\ 3 & 2 & 0 \end{matrix}]$ .
$A . 0 B. 12 C. 25 D. 36$