All Math Department Calculator Related Post

    Rotation Matrix Calculator Rotation Type: 2D Rotation (counterclockwise)3D Rotation about X/Y/Z Axis3D Rotation about Arbitrary Axis (Axis-Angle) Angle θ (degrees): Rotation Axis: X-axis (Roll)Y-axis (Yaw)Z-axis (Pitch) Angle θ (degrees): Axis Vector (ux, uy, uz) – must be unit vector: Angle θ (degrees): Generate Rotation Matrix About the Rotation Matrix Calculator The Rotation Matrix […]

    Transformation Matrix Finder Dimension: 2D Transformation (3×3 matrix)3D Transformation (4×4 matrix) Original Points (one per line, comma-separated): Transformed Points (same order): 2D Example (Rotation 90° + Translation): Original: 0,0 1,0 0,1 Transformed: 0,0 0,1 -1,0 Find Transformation Matrix About the Transformation Matrix Finder The Transformation Matrix Finder is a powerful, scientifically accurate online

    Linear Map Matrix Calculator Input Basis Vectors β = {b₁, b₂, …, bₙ} (one per line, comma-separated): Images T(b₁), T(b₂), …, T(bₙ) under the linear map (one per line, same order): Valid Input Example (2D → 2D): Basis vectors: 1, 0 0, 1 Images T(b₁), T(b₂): 2, 1 0, 3 Compute Linear Map

    Orthogonal Projection Calculator Vector v to Project (comma-separated): Subspace Basis Vectors (one per line, comma-separated): Valid Input Example: Vector v: 4, 2, 1 Basis: 1, 1, 0 1, 0, 1 Compute Orthogonal Projection About the Orthogonal Projection Calculator The Orthogonal Projection Calculator is a scientifically rigorous tool that computes the orthogonal projection of

    QR Decomposition Calculator Enter Matrix A (rows separated by new lines, elements by commas): Decomposition Method: Gram-Schmidt ProcessHouseholder Reflections (Numerical) Valid Input Example (3×3 matrix): 1, 2, 3 0, 1, 4 5, 6, 0 Compute QR Decomposition About the QR Decomposition Calculator The QR Decomposition Calculator is a scientifically accurate tool that computes

    Gram-Schmidt Process Calculator Enter Vectors (one per line, comma-separated): Output Type: Orthogonal Vectors OnlyOrthonormal Basis (Normalized) Valid Input Example: 3, 1, 0 1, 2, 0 0, 0, 1 Run Gram-Schmidt Process About the Gram-Schmidt Process Calculator The Gram-Schmidt Process Calculator is a scientifically accurate, interactive tool that performs the Gram-Schmidt orthogonalization algorithm step-by-step

    Orthonormal Basis Generator Enter Vectors (one per line, comma-separated): Valid Input Example: 3, 1, 0 1, 2, 0 0, 0, 1 Generate Orthonormal Basis About the Orthonormal Basis Generator The Orthonormal Basis Generator is a scientifically precise tool that constructs an orthonormal basis from a set of linearly independent vectors using the Gram-Schmidt

    Orthogonal Vectors Checker Enter Vectors (one per line, comma-separated): Valid Input Example: 1, 2, 3 -2, 1, 0 0, 0, 1 Check Orthogonality About the Orthogonal Vectors Checker The Orthogonal Vectors Checker is a scientifically rigorous tool that determines whether a set of vectors is pairwise orthogonal using the dot product, based on

    Linear Independence Checker Enter Vectors (one per line, comma-separated): Valid Input Example: 1, 2, 3 4, 5, 6 7, 8, 9 Check Linear Independence About the Linear Independence Checker The Linear Independence Checker is a scientifically accurate tool designed to determine whether a set of vectors is linearly independent using the row reduction

Dimension of Vector Space Finder Field: Real Numbers (ℝ)Rational Numbers (ℚ)GF(2) – Mod 2GF(3) – Mod 3GF(5) – Mod 5 Vectors (one per line, comma-separated coordinates): Find Dimension Enter vectors (one per line), select field, and click “Find Dimension” to compute the dimension of the spanned space. About the Dimension of Vector Space Finder The