AnswersPrecalculusDot Product and Work

Dot Product and Work Answers

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c11 = c31 = c22 =

Answers:
Part 1:8
Part 2:20
Part 3:14
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This subtraction represents a translation of the given triangle and .

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Selection 1:2 units right
Selection 2:4 units down
10

d11 = ⇒ 0 d12 = ⇒ -2 d13 = ⇒ 4 d21 = ⇒ -4 d22 = ⇒ 2 d23 = ⇒ 0

Answers:
⇒ 0:-5
⇒ -2:-4
⇒ 4:-1
⇒ -4:8
⇒ 2:9
⇒ 0:6
11

Which of the following matrix addition problems are possible?

A
mr001-1.jpg
Option A
B
mr001-2.jpg
Option B
C
mr001-3.jpg
Option C
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A + (B + C) = (A + B) + C property A + B = B + A property A + (−A) = 0 ⇒ inverse property A + 0 = A ⇒ identity property

Answers:
Part 1:associative
Part 2:commutative
⇒ inverse:additive inverse
⇒ identity:additive identity
13

a11 = ⇒ -11 a12 = ⇒ -16 a13 = ⇒ 6 a14 = ⇒ -10

Answers:
⇒ -11:-4
⇒ -16:1
⇒ 6:9
⇒ -10:6
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Answer:

The matrix equation has no solution because the matrices on each side of the equals sign are different sizes. The matrix on the left is a 2x2 matrix, while the zero matrix on the right is a 1x4 matrix. Addition and equality are only defined for matrices of the same dimensions.

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x = y =

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Selection 1:6, -6
Selection 2:10
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Did your answer include:

A
The matrices are different sizes
B
Addition is not possible
20

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