Overview
Matrix theory is a vital area of mathematics that focuses on the study of matrices and their properties. It provides tools for solving systems of linear equations, performing transformations, and analyzing data. Understanding matrices is essential for various applications in fields like computer gra...
Key Terms
Example: A = [[1, 2], [3, 4]]
Example: For matrix A = [[a, b], [c, d]], det(A) = ad - bc.
Example: If A*v = λ*v, then λ is the eigenvalue.
Example: In the equation A*v = λ*v, v is the eigenvector.
Example: Rotating a vector in 2D space is a linear transformation.
Example: I = [[1, 0], [0, 1]]