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Course: Precalculus > Unit 7

Lesson 6: Using matrices to manipulate data
Math
Precalculus
Matrices
Using matrices to manipulate data
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Use matrices to manipulate data

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Problem

On two certain game shows, contestants can choose whether they want to answer an easy, intermediate or hard question. The harder the question, the more points they gain for answering correctly. However, if they get the question wrong, they are penalized by losing points.
Matrix A represents the number of points contestants in game show A can gain or lose (a negative number corresponds to losing points) for each type of question, where rows are difficulty level and columns are answer correctness.
Matrix A
Difficulty╲AnswerRightWrong
Easy10−1
Intermediate30−5
Hard80−15
Matrix B represents the number of points contestants in game show B can gain or lose for each type of question.
Matrix B
Difficulty╲AnswerRightWrong
Easy12−2
Intermediate28−4
Hard100−20
Matrix C represents how many more (or less) points contestants gain (or lose) at game show B compared to game show A (where negative values mean contestants at game show A gain more, or lose less, points).
Complete matrix C.
Matrix C
Difficulty╲AnswerRightWrong
Easy
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
Intermediate
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
1
Hard
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi