Q7E Find the area of the following r... [FREE SOLUTION]

91影视

Linear Algebra With Applications

Otto Bretscher

$Math Studyset 91影视 Explanations$ Math

5th Edition 路 442 pages

ISBN: 9780321796974

Chapter 6: Q7E (page 306)

Find the area of the following region:

Short Answer

Expert verified

Therefore, the following area of the area of the triangle is given by,

A = 110

Step by step solution

Definition.

Basically, it is equal to half of the Area of the parallelogram.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

$A = 1 / 2 脳 b 脳 h$

To calculate the area of the following regions.

We can calculate the area of this quadrangle by calculating the area of two triangles, one being formed by

$[\begin{matrix} - 7 \\ 7 \end{matrix}] - [\begin{matrix} - 5 \\ - 6 \end{matrix}] = [\begin{matrix} - 2 \\ 13 \end{matrix}]$

And

$[\begin{matrix} 5 \\ 5 \end{matrix}] - [\begin{matrix} - 5 \\ - 6 \end{matrix}] = [\begin{matrix} 10 \\ 11 \end{matrix}]$ ,

and the other one being formed by

$[\begin{matrix} 10 \\ 11 \end{matrix}]$

And

$[\begin{matrix} 3 \\ - 4 \end{matrix}] - [\begin{matrix} - 5 \\ - 6 \end{matrix}] = [\begin{matrix} 8 \\ 2 \end{matrix}]$

So,

$A = \frac{1}{2} |\det [\begin{matrix} - 2 & 10 \\ 13 & 11 \end{matrix}]| + \frac{1}{2} |\det [\begin{matrix} 10 & 8 \\ 11 & 2 \end{matrix}]| A = \frac{1}{2} (152 + 68) A = 110$

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91影视

Find the area of the following region:

Short Answer

Step by step solution

Definition.

To calculate the area of the following regions.

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