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Chapter 6: Q1E (page 305)

Find the area of the parallelogram defined by[37]and[82].

Short Answer

Expert verified

Therefore, the Area of parallelogram is 50.

Step by step solution

01

Definition. 

The area of a parallelogram is the number of square units inside the polygon.

The area of a parallelogram can be determined by multiplying the base and height.

For finding the area of a parallelogram, the base and height must be perpendicular. The area of a parallelogram is given by,

Area=b脳h

02

Given. 

Given Matrix,

37

And

82

03

To find the area of the parallelogram.

Area of parallelogram formed by

37

And

82


Therefore,

role="math" localid="1660716122809" det3872=6-56det3872=50

Area of parallelogram is 50.

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Most popular questions from this chapter

In Exercises 5 through 40, find the matrix of the given linear transformation with respect to the given basis. If no basis is specified, use standard basis:for,

forandfor,.For the spaceof upper triangularmatrices, use the basis

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Consider a 4脳4matrix A with rowsv鈫�1,v鈫�2,v鈫�3,v鈫�4. If, find the determinants in Exercises 11 through16.

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Use Gaussian elimination to find the determinant of the matrices A in Exercises 1 through 10.

4.[1-12-2-1216211410-261033]
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