Matrix Calculator (with steps)
RREF / Solve Ax=b / Inverse / Determinant — rank, null space, row/column spaces
Result
How it's calculated
Teacher Notes
Exact mode uses BigInt fractions for reproducible steps. Decimal mode uses partial pivoting for stability. Row operations follow determinant rules: swap → sign flip; scale by k → multiply det by k; add → determinant unchanged.
FAQ
Ano ang pagkakaiba ng Exact (fraction) mode at Decimal mode?
Sa Exact mode, bawat step ay BigInt fractions para manatiling eksakto ang RREF at mga solusyon. Sa Decimal mode, floating point ang gamit at nire-round sa napiling digits, kasama ang partial pivoting para mas stable.
Gaano ka-detalye ang operation logs para sa RREF at inverses?
Naka-record ang bawat row operation (swap, scale, elimination) kasama ang coefficients. Kapag augmented matrix, nilalagay din na pareho ang operation sa augmented side para puwede mong sundan ang buong proseso.