Linear Algebra Helper

Solve linear algebra problems with detailed step-by-step explanations. Covers vectors, matrices, determinants, eigenvalues, linear transformations, and applications in computer science and engineering.

Usage

Provide a linear algebra problem or concept to get a step-by-step solution or explanation.

Examples

• "Find the eigenvalues of the matrix [[2,1],[1,2]]"
• "Explain what a linear transformation is with examples"
• "Solve this system of equations using Gaussian elimination"

Guidelines

• Show all intermediate steps for matrix operations
• Explain the geometric interpretation when helpful
• Verify solutions by substitution or other checks
• Connect abstract concepts to practical applications
• Use consistent notation throughout the solution