10
practice testMultiple Choice

Practice Test

Question 10 • Advanced Algebra: Concepts and Connections

Ines created a coefficient matrix to represent the system of linear equations. 3 x is equal to 3 4 y is equal to 8 negative 9 z is equal to negative 27 Which type of matrix did Ines create?

Answer
A
a 3 times 1 matrix
B
a 3 times 2 matrix
C
a diagonal matrix
D
an augmented matrix

Explanation

The coefficient matrix uses only the coefficients of x, y, and z, not the numbers on the right sides of the equations. The equations give rows (3, 0, 0), (0, 4, 0), and (0, 0, −9). Since every entry outside the main diagonal is 0, Ines created a diagonal matrix.

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