Matrix Operations: Equivalence and Vector Identification

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Page 2 of 3

Introduces Matlab basics, error handling, and billiards project concepts.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers the process of row echelon form by performing various operations on matrices.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.

Explores matrix rank and vector space inclusion through elementary row operations.

Covers determinants, row echelon form, properties, and geometric interpretation of determinants.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.