What is the matrix form of Linear Regression?

Updated May 16, 2026

Short answer

Linear regression can be represented as y = Xβ + ε.

Deep explanation

Matrix form allows efficient computation using linear algebra. X is feature matrix, β coefficients, and ε error term.

Real-world example

Used in large-scale statistical modeling pipelines.

Common mistakes

  • Confusing transpose operations in matrix multiplication.

Follow-up questions

  • Why use pseudoinverse?
  • What is X shape?

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