Chapter 4: Q15. (page 186)

Find the value of each determinant.
15. $|\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}|$

Short Answer

Expert verified

The value of the determinant $|\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}| = 20$ .

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

Apply the definition of the method of finding determinant of second order

matrix $|\begin{matrix} 7 & 8 \\ 3 & - 2 \end{matrix}|$ .

$|\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}| = 10 \times (5) - 5 (6)$

- Simplify

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

$\begin{matrix} |\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}| = 10 \times (5) - 5 (6) \\ = 50 - 30 \\ = 20 \end{matrix}$

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Find the value of each determinant.
15. $|\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}|$

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- Simplify

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Find the value of each determinant.15.10655

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

Discrete Mathematics

Applied Mathematics

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Theoretical and Mathematical Physics

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Geometry

Study anywhere. Anytime. Across all devices.

Find the value of each determinant.
15. $|\begin{matrix} 10 & 6 \\ 5 & 5 \end{matrix}|$