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Key Concepts
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1. Matrix Method
A system of equations AX = B can be solved using X = A⁻¹B, provided |A| ≠ 0.
2. Consistency
- If |A| ≠ 0: System is consistent and has a unique solution.
- If |A| = 0 and (adj A)B = 0: Infinite solutions.
- If |A| = 0 and (adj A)B ≠ 0: No solution (Inconsistent).
3. Cramer's Rule
A method for solving systems of linear equations using determinants.