Q. 13 Find the value of the determinan... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 13 (page 740)

Find the value of the determinant.
$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}|$

Short Answer

Expert verified

$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}| = - 26$

Step by step solution

Step 1. Given information

We have been given:

$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}|$

We have to find the value of this determinant.

Step 2. Use formula a11a12a13a21a22a23a31a32a33=a11a22a23a32a33-a12a21a23a31a33+a13a21a22a31a32.

$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}| = 4 鈰� |\begin{array}{ll} 鈭� 1 鈥呪赌呪赌呪赌� 0 \\ 鈭� 3 鈥呪赌呪赌呪赌� 4 \end{array}| 鈭� (鈭� 1) 鈰� |\begin{array}{cc} 6 & 0 \\ 1 & 4 \end{array}| + 2 鈰� |\begin{array}{cc} 6 & 鈭� 1 \\ 1 & 鈭� 3 \end{array}|$

Step 3. Simplify

$4 鈰� |\begin{array}{ll} 鈭� 1 鈥呪赌呪赌呪赌� 0 \\ 鈭� 3 鈥呪赌呪赌呪赌� 4 \end{array}| 鈭� (鈭� 1) 鈰� |\begin{array}{cc} 6 & 0 \\ 1 & 4 \end{array}| + 2 鈰� |\begin{array}{cc} 6 & 鈭� 1 \\ 1 & 鈭� 3 \end{array}|$

$= 4 鈰� [(鈭� 1) 鈰� 4 鈭� (鈭� 3) 鈰� 0] + 1 鈰� [6 鈰� 4 鈭� 1 鈰� 0] + 2 鈰� [6 鈰� (鈭� 3) 鈭� 1 鈰� (鈭� 1)] = 4 鈰� (鈭� 4) + 1 鈰� 24 + 2 鈰� (鈭� 18 + 1) = 鈭� 16 + 24 + 2 鈰� (鈭� 17) = 8 鈭� 34 = - 26$

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91影视

Find the value of the determinant.
$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}|$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use formula a11a12a13a21a22a23a31a32a33=a11a22a23a32a33-a12a21a23a31a33+a13a21a22a31a32.

Step 3. Simplify

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91影视

Find the value of the determinant.4鈭�126鈭�101鈭�34

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use formula a11a12a13a21a22a23a31a32a33=a11a22a23a32a33-a12a21a23a31a33+a13a21a22a31a32.

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Find the value of the determinant.
$|\begin{array}{ccc} 4 & 鈭� 1 & 2 \\ 6 & 鈭� 1 & 0 \\ 1 & 鈭� 3 & 4 \end{array}|$