22
QuizMultiple Choice

Introduction to Matrices — Quiz

Question 22 • Advanced Algebra: Concepts and Connections

Drina wrote the system of linear equations. 3 x minus 2 y is equal to negative 2 7 x plus 3 y is equal to 26 negative x minus 11 y is equal to negative 46 Which type of matrix can be formed using this system of equations?

Answer
A
a matrix with 3 rows and 4 columns
B
a diagonal matrix
C
a square matrix
D
a matrix with 4 rows and 3 columns

Explanation

The system has 3 equations and 2 variables, x and y. Its augmented matrix has one column for each variable and one extra column for the constants, so it has 3 rows and 3 columns. A matrix with the same number of rows and columns is square, so the answer is a square matrix.

AI-written and checked against the verified answer.

Previous
Next