Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...
Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...
Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...
- No tags were found...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
EXAMPLE Two <strong>equation</strong>s in two variables:x 1 x 2 10x 1 2x 2 3x 1 x 2 02x 1 4x 2 8x 2−1 1 2 3 4 5 x 11086422 4 6 8 10 x 14321−1−2x 2one unique solutionno solutionx 1 x 2 32x 1 2x 2 6x 24321−1−11 2 3 4 5 x 1−2infinitely many solutionsBASIC FACT: A system <strong>of</strong> <strong>linear</strong> <strong>equation</strong>s has either(i) exactly one solution (consistent) or(ii) infinitely many solutions (consistent) or(iii) no solution (inconsistent).2
Change language