Vector Multiplication Using Matrices

Question 1

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant. Det −1 0 0 −1 = Det 0 1 −1 0 = Find the following determinant by hand. Det 1 2 2 − 2 1 2 =

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:  "1"; :  "1"

Question 2

a = ⇒ 1, b = ⇒ 0, c = ⇒ 0, and d = ⇒ 1,

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0

Question 3

All these reflections resulted in similar but different sized✔ congruentnot similar figures.

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B: ✔ congruent

Question 4

Choose the correct choice for the matrix after applying the transformation to the triangle:

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A:

Question 5

The resulting matrix creates an image that is Similar but different sizesCongruent✔ Not similar to the original triangle.

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C: ✔ Not similar

Question 6

Question 6

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1

Question 7

Find the determinant of each of these:The determinant of each of these is .

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-1

Question 8

✔ rotation matricesreflection matricestranslation matrices

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A: ✔ rotation matrices

Question 9

Find the product of the matrix and its transpose: R·Rt is the original rotation matrix.the transpose.✔ the identity matrix.none of the above..

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C: ✔ the identity matrix.

Question 10

Question 10

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1

Vector Multiplication Using Matrices Answers

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