6
QuizMultiple Choice

Cramer's Rule — Quiz

Question 6 • Advanced Algebra: Concepts and Connections

Given the 2 by 2 matrix, row 1, column 1, 12 column 2, negative 13 row 2, column 1, 17 column 2, negative 22 the 2 by 1 column matrix x y is equal to the 2 by 1 column matrix row 1 7 row 2 negative 51 , what is the 1 by 1 row matrix column 1 cap A sub y ?

Answer
A
the 2 by 2 matrix, row 1, column 1, 12 column 2, negative 13 row 2, column 1, 7 column 2, negative 51
B
the 2 by 2 matrix, row 1, column 1, 7 column 2, negative 51 row 2, column 1, 17 column 2, negative 22
C
the 2 by 2 matrix, row 1, column 1, 7 column 2, negative 13 row 2, column 1, negative 51 column 2, negative 22
D
the 2 by 2 matrix, row 1, column 1, 12 column 2, 7 row 2, column 1, 17 column 2, negative 51

Explanation

To form A_y using Cramer’s rule, replace the y-column (the second column) of the coefficient matrix with the constants 7 and −51. This gives the matrix with rows (12, 7) and (17, −51), which is choice C.

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