Solving Systems of Equations with Matrices
A system of linear equations can be packed into a single matrix equation AX = B, and from there the whole toolkit of matrices applies.
This quiz covers building the coefficient matrix, solving with the inverse, Cramer's rule, and reading the determinant to tell whether a system has one solution, none, or infinitely many.
The last step of the series, and the one that shows what all the earlier machinery was for.
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What This Quiz Covers
- Writing a system as AX = B
- Solving with the inverse: X = A⁻¹B
- Cramer's rule for a 2×2 system
- What the determinant says about solutions
- Parallel lines and repeated lines
- Why matrices have no division
Sample questions3 of 13 shown
Q1
A system of linear equations is written as AX = B. What does A contain?
Q2
The system 2x + y = 11, x + 3y = 18 is written as AX = B. What is A?
Q3
For the system 2x + y = 11, x + 3y = 18, what is the determinant of the coefficient matrix?
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