Math Visualization List
Determinant
2x2 & 3x3 Determinants
Cramer's Rule
Permutations & Inversions
Permutation Definition & Expansion
Properties of Determinants: Row Operations
Minors & Cofactors
Two-Row Laplace Expansion
Vandermonde Determinant
Matrix Operations
Matrix Addition, Subtraction & Scalar Multiplication
Matrix Multiplication & Power
Transpose, Determinant & Adjoint
Inverse Matrix & Matrix Equations
Elementary Transformations, Echelon & Canonical Form
Probability & Statistics
Conditional Probability, Independence & Total Probability
Discrete Probability Distributions
PMF & CDF
2D Random Vectors
Conditional Probability Distributions
Bayes' Theorem
Numerical Characteristics of Random Variables
Higher Moments & Covariance Matrix
Law of Iterated Expectations
Independence, Mean Independence & Uncorrelated
Continuous Statistical Distributions
Vector Operations
Vector Addition, Subtraction & Scalar Multiplication
Linear Combination, Span & Basis
Matrices as Transformations
Composition of Transformations
3D Linear Transformations
Determinant
Inverse, Column Space & Rank
Cross-Dimensional Transformations
Vector Angle
Cross Product
Change of Basis
Eigenvectors & Eigenvalues
Function Vector Spaces
Geometric Interpretation of Cramer's Rule
Gravity Simulation
Integration Visualization
Intuitively understand integration concepts through interactive graphics. Adjust parameters to observe changes in integral values and watch the Riemann sum approximation process.
📐
Integration Formula
$$ \int_{a}^{b} f(x) \, dx $$
$$ f(x) = x^2 $$
📊 Select Function
📏 Lower Limit a
0.0
📏 Upper Limit b
2.0
🔢 Number of Divisions n
10
📊 Calculation Results
∫ Exact Integral
2.6667
↔ Interval Length
2.00
▦ Riemann Sum Approximation
2.6600
Δ Error & Accuracy
0.006667
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