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About Basic Matrix Operations

Matrix Arithmetic

Learn fundamental matrix operations including addition, subtraction, and scalar multiplication. These operations form the foundation of linear algebra.

  • Matrix Addition & Subtraction
  • Scalar Multiplication
  • Element-wise Operations

Matrix Multiplication

Master matrix multiplication, the most important operation in linear algebra. Understand dimension requirements and computational complexity.

  • Standard Matrix Multiplication
  • Hadamard Product
  • Dimension Validation

Vector Operations

Explore essential vector operations including dot product, cross product, magnitude, and projections for geometric applications.

  • Dot & Cross Products
  • Vector Magnitude
  • Vector Projections

Matrix Transformations

Understand basic matrix transformations like transpose and their geometric interpretations in coordinate systems.

  • Matrix Transpose
  • Symmetric Properties
  • Geometric Interpretations