All Math Department Calculator Related Post

    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

Basis of Vector Space Calculator Field: Real Numbers (ℝ)Rational Numbers (ℚ)GF(2) – Mod 2GF(3) – Mod 3 Vectors (one per line, comma-separated coordinates): Calculate Basis Enter vectors (one per line), select field, and click “Calculate Basis” to find a basis, dimension, and linear dependence. About the Basis of Vector Space Calculator The Basis of Vector