Matrix Algebra Answers
Quick answers to common linear algebra questions with formulas, worked examples, and step-by-step explanations.
All Answers
How Do I Find the Inverse of a 2x2 Matrix?
For [[a,b],[c,d]], the inverse is (1/(ad-bc)) * [[d,-b],[-c,a]]. Worked example with step-by-step formula for quick calculation.
How Do I Calculate a 3x3 Determinant?
Cofactor expansion along the first row: det = a(ei-fh) - b(di-fg) + c(dh-eg). Step-by-step formula and worked example.
What Are the Rules for Matrix Multiplication?
A(m*n) * B(n*p) = C(m*p). Inner dimensions must match. Element C[i][j] = sum of A[i][k] * B[k][j] for all k.
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All of these operations are available in the ML3X Matrix Calculator, which supports matrices up to 5×5 with full step-by-step solution display.
Built by Michael Lip. Try the ML3X Matrix Calculator for interactive step-by-step solutions.