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QuizMultiple Choice

Matrices and Row Operations — Quiz

Question 1 • Algebraic Reasoning

The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix represents the tickets sold and the total cost of the tickets for three performances. the 3 by 4 matrix, row 1, column 1, 3 column 2, 12 column 3, 6 column 4, 102 row 2, column 1, 6 column 2, 18 column 3, 6 column 4, 162 row 3, column 1, 0 column 2, 15 column 3, 5 column 4, 85 Which of the following is the result of performing the row operation negative 2 cap r 1 plus cap r 2 rightarrow cap r 2 on this matrix?

Answer
A
the 3 by 4 matrix, row 1, column 1, 3 column 2, 12 column 3, 6 column 4, 102 row 2, column 1, 0 column 2, negative 6 column 3, negative 6 column 4, negative 42 row 3, column 1, 0 column 2, 15 column 3, 5 column 4, 85
B
the 3 by 4 matrix, row 1, column 1, negative 6 column 2, negative 24 column 3, negative 12 column 4, negative 204 row 2, column 1, 6 column 2, 18 column 3, 6 column 4, 162 row 3, column 1, 0 column 2, 15 column 3, 5 column 4, 85
C
the 3 by 4 matrix, row 1, column 1, 3 column 2, 6 column 3, 6 column 4, 102 row 2, column 1, 6 column 2, 6 column 3, 6 column 4, 162 row 3, column 1, 0 column 2, 15 column 3, 5 column 4, 85
D
the 3 by 4 matrix, row 1, column 1, 0 column 2, negative 6 column 3, negative 6 column 4, negative 42 row 2, column 1, 6 column 2, 18 column 3, 6 column 4, 162 row 3, column 1, 0 column 2, 15 column 3, 5 column 4, 85
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