Vector Multiplication Using Matrices - Quiz Quiz

Question 1

Which point is the coordinate of the image of cap A under the transformation the 2 by 2 matrix row 1, 0 1 row 2, 1 0 ?

Revolt · Accepted Answer

C: open paren 4 comma 2 close paren

Question 2

Which point is the coordinate of the image of cap A under the transformation the 2 by 2 matrix, row 1, column 1, 0 column 2, negative 1 row 2, column 1, 1 column 2, 0 ?

Revolt · Accepted Answer

A: open paren negative 4 comma 2 close paren

Question 3

What type of transformation of triangle ABC was applied by cap t ?

Revolt · Accepted Answer

C: reflect across the line  y is equal to negative x

Question 4

Which transformation matrix would result in a 300 degrees counterclockwise rotation about the origin?

Revolt · Accepted Answer

A: the 2 by 2 matrix, row 1, column 1, 1 half column 2, the fraction with numerator square root of 3 and denominator 2 row 2, column 1, negative the fraction with numerator square root of 3 and denominator 2 column 2, 1 half

Question 5

Which transformation matrix would result in a 270 degrees counterclockwise rotation about the origin?

Revolt · Accepted Answer

B: the 2 by 2 matrix, row 1, column 1, 0 column 2, 1 row 2, column 1, negative 1 column 2, 0

Question 6

Justine reflects a vector v across the y -axis. Simonne reflects a vector v by rotating it 90 degrees counterclockwise about the origin. Which of the following vectors has the same image for Justin and Simonne?

Revolt · Accepted Answer

C: the 2 by 1 column matrix 4 4

Question 7

Which angle of rotation is determined by the matrix given? the 2 by 2 matrix, row 1, column 1, negative the fraction with numerator square root of 2 and denominator 2 column 2, the fraction with numerator square root of 2 and denominator 2 row 2, column 1, negative the fraction with numerator square root of 2 and denominator 2 column 2, negative the fraction with numerator square root of 2 and denominator 2

Revolt · Accepted Answer

A: 225 degrees

Question 8

Which angle of rotation is determined by the matrix shown? the 2 by 2 matrix, row 1, column 1, 1 half column 2, negative the fraction with numerator square root of 3 and denominator 2 row 2, column 1, the fraction with numerator square root of 3 and denominator 2 column 2, 1 half

Revolt · Accepted Answer

D: 60 degrees

Question 9

Which sequence of steps would transform triangle 1 to triangle 2?

Revolt · Accepted Answer

C: reflect across the  y -axis; rotate  180 degrees  counterclockwise about the origin

Question 10

Which points are in the image of rectangle ABCD under the transformation: cap t is equal to the 2 by 2 matrix row 1, 3 0 row 2, 0 3 ?

Revolt · Accepted Answer

A: cap A prime times open paren 3 comma 9 close paren ;  cap b prime times open paren 12 comma 9 close paren ;  cap c prime times open paren 12 comma 3 close paren ;  cap d prime times open paren 3 comma 3 close paren

Vector Multiplication Using Matrices - Quiz Quiz Answers

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