All Math Department Calculator Related Post

    Affine Transformation Calculator Select Dimension: 2D Affine Transformation (3×3 Matrix)3D Affine Transformation (4×4 Matrix) Translation (Tx, Ty, Tz) Rotation Scaling Shear (2D Only) Default Values Create: 2D: Rotate 45° → Scale → Shear → Translate (50,30) 3D: Rotate X/Y/Z → Scale → Translate (50,30,20) Generate Affine Transformation Matrix About the Affine Transformation Calculator […]

    Scaling Matrix Calculator Select Dimension: 2D Scaling (3×3 Matrix)3D Scaling (4×4 Matrix) Scale Factor in X-direction (Sx): Scale Factor in Y-direction (Sy): Scale Factor in X-direction (Sx): Scale Factor in Y-direction (Sy): Scale Factor in Z-direction (Sz): Apply Uniform Scaling (same factor for all axes) Quick Examples: Uniform scaling: Sx = Sy =

    Translation Matrix Calculator Select Dimension: 2D Translation (3×3 Matrix)3D Translation (4×4 Matrix) Translation in X-direction (Tx): Translation in Y-direction (Ty): Translation in X-direction (Tx): Translation in Y-direction (Ty): Translation in Z-direction (Tz): Example: 2D: Tx = 5, Ty = 3 → Moves every point 5 units right and 3 units up 3D: Tx

    Shear Transformation Calculator Shear Type: 2D Horizontal Shear (X-direction)2D Vertical Shear (Y-direction)2D General Shear (Custom Direction)3D Shear (Choose Plane & Direction) Shear Factor k (shifts Y by k·X): Shear Factor m (shifts X by m·Y): Angle of Shear Direction (degrees): Shear Factor k: Shear Plane: XY Plane (shear in Z direction)XZ Plane (shear

    Reflection Matrix Calculator Reflection Type: 2D Reflection over a Line through Origin2D Reflection over Arbitrary Line3D Reflection over a Plane through Origin3D Reflection over Arbitrary PlaneReflection over X, Y, or Z Axis/Plane Angle of Line with X-axis (degrees): Point on Line (x,y): Normal Vector to Line (nx, ny): Normal Vector to Plane (nx,

    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