Chapter 11: Q. 28 (page 793)

find the value of each determinant
$|\begin{matrix} 2 & 1 & - 3 \\ 5 & 0 & 1 \\ 2 & 6 & 0 \end{matrix}|$

Short Answer

Expert verified

$D = - 100$

Step by step solution

Step 1. The given information is

$|\begin{matrix} 2 & 1 & - 3 \\ 5 & 0 & 1 \\ 2 & 6 & 0 \end{matrix}|$

Step 2. Using the formula for the determinant D=abcdefghiD=a(ei-fh)-b(di-gf)-c(dh-eg)

$D = |\begin{matrix} 2 & 1 & - 3 \\ 5 & 0 & 1 \\ 2 & 6 & 0 \end{matrix}| D = 2 (0 \times 0 - 1 \times 6) - 1 (5 \times 0 - 2 \times 1) + (- 3) (5 \times 6 - 2 \times 0) D = 2 (0 - 6) - 1 (0 - 2) + (- 3) (30 - 0) D = (- 12) + 2 - 90 D = - 100$

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find the value of each determinant
$|\begin{matrix} 2 & 1 & - 3 \\ 5 & 0 & 1 \\ 2 & 6 & 0 \end{matrix}|$

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Using the formula for the determinant D=abcdefghiD=a(ei-fh)-b(di-gf)-c(dh-eg)

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find the value of each determinant21-3501260

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Using the formula for the determinant D=abcdefghiD=a(ei-fh)-b(di-gf)-c(dh-eg)

One App. One Place for Learning.

Most popular questions from this chapter

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Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

find the value of each determinant
$|\begin{matrix} 2 & 1 & - 3 \\ 5 & 0 & 1 \\ 2 & 6 & 0 \end{matrix}|$