Linear Algebra · Chapter 1 of 10
Linear systems
8 curated · 44 from open sources · 3.1 trillion generated
A linear system is a set of equations where each variable appears only to the first power. Solving it means finding values for all variables that make every equation true at once. Use elimination: add or subtract equations, or multiply an equation by a number, to remove one variable and solve for the rest. A system can have exactly one solution, no solution, or infinitely many solutions. If elimination produces a false statement like , there is no solution. If it produces a true statement like , there are infinitely many solutions. Otherwise, back-substitute to find the unique solution.
Practice
3.1 trillionEndless problems made on demand, each with an exactly computed answer. Every click is a new one.
Curated
8| # | Title | Difficulty | Tags | |
|---|---|---|---|---|
| 155 | Two lines, one point | Easy | ||
| 346 | Parallel lines | Easy | ||
| 347 | The same line twice | Easy | ||
| 349 | A clean pair | Easy | ||
| 350 | How many free variables? | Easy | ||
| 345 | Three equations, three unknowns | Medium | ||
| 348 | When does it fail? | Medium | ||
| 351 | Solve with an inverse | Medium |
From open sources
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