Q8. Find the value of each determina... [FREE SOLUTION]

Chapter 4: Q8. (page 185)

Find the value of each determinant.
$|\begin{matrix} - 3 & - 6 \\ 4 & 8 \end{matrix}|$

Short Answer

Expert verified

The value of the determinant $|\begin{matrix} - 3 & - 6 \\ 4 & 8 \end{matrix}| = 0$ .

Step by step solution

- Define the determinant of second-order matrix

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., $|\begin{matrix} a & b \\ c & d \end{matrix}| = a d - b c$ .

- Find the determinant

Expand the determinant .

$|\begin{matrix} - 3 & - 6 \\ 4 & 8 \end{matrix}| = - 3 脳 (8) - 4 (- 6)$

- Simplify

To further simplify multiply the values first and then find the difference.

$\begin{matrix} |\begin{matrix} \begin{matrix} 鈭� 3 & 鈭� 6 \\ 4 & 8 \end{matrix} \end{matrix}| = 鈭� 3 脳 (8) 鈭� 4 (鈭� 6) \\ = 鈭� 24 + 24 \\ = 0 \end{matrix}$

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91影视

Find the value of each determinant.
$|\begin{matrix} - 3 & - 6 \\ 4 & 8 \end{matrix}|$

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- Simplify

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91影视

Find the value of each determinant.-3-648

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Geometry

Probability and Statistics

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.
$|\begin{matrix} - 3 & - 6 \\ 4 & 8 \end{matrix}|$