Linear Equations and Systems

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Description

This lecture covers linear equations, systems of linear equations, and matrices. It explains how to find solutions to linear equations, determine if a system is consistent, and solve systems using Gaussian elimination. The instructor also introduces the concept of augmented matrices and elementary row operations.

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Related lectures (29)

https://mediaspace.epfl.ch/media/0_z6a62wyv

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In course

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Related lectures (29)

Gaussian Elimination Method

Covers the Gaussian elimination method for solving linear equations using row operations and equivalent matrices.

Linear Equations: Consistency and Solutions

Explores the consistency and general solutions of linear equation systems using matrices and elementary row operations.

Gaussian Elimination Method

Covers the Gaussian elimination method for solving linear equations using row operations on matrices.

Linear Equations and Matrix Calculations

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Gaussian Elimination Method

Explains the Gaussian elimination method for solving linear equations through row operations and pivoting.