The document provides information about solving systems of linear equations using Cramer's rule, including: - Cramer's rule uses determinants of the coefficient matrix to solve systems of linear equations. - For a 2x2 system, if the determinant of the coefficient matrix is not equal to 0, there is exactly one solution. - The solutions are found by taking the determinants of the numerator matrices (with one column replaced by the constants) divided by the determinant of the coefficient matrix. - Several examples demonstrate solving 2x2 systems using Cramer's rule.

4. Cramer’s Rule (Section 4.3) Gabriel Cramer was a Swiss mathematician (1704-1752)

7. Determinants Example 1

11. Solution: (-1,2) Example 2

13. Solution: Example 3

15. Solution: Example 4