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Chapter 4: Q35. (page 180)

TECHNOLOGY

For exercise 35 and 36, use the following information.

As you move the mouse for your computer, a corresponding arrow is translated on the screen. Suppose the position of the cursor on the screen is given in inches with the origin at the bottom left-hand corner of the screen.

35. You want to move the cursor 3 inches to the right and 4 inches up. Write a translation matrix that can be used to move the cursor to the new position.

Short Answer

Expert verified

The translation matrix is 34

Step by step solution

01

- Write general translation matrix

An ordered pair is represented by a column matrix.

If the matrix is translated to x units right or left then x is added or subtracted from first row respectively.

If the matrix is translated to y units up or down then y is added or subtracted from second row respectively.

Thus translation matrix for an ordered pair is of the form

xy
02

- Find value of x and y

As the triangle is translated 3 inches right, so x=3

As the triangle is translated 4 inches up, so y=4

03

- Find translated matrix

Substitute 3 for x and 4 for y in general translated matrix gives required matrix

34

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