Lecture

Invertibility Criterion

Description

This lecture explains the criterion of invertibility based on the determinant of a matrix. The instructor demonstrates that a matrix is invertible if and only if its determinant is non-zero, providing a detailed proof using elementary row operations. The lecture also applies the criterion to a specific example involving a parameter in a 3x3 matrix, foreshadowing its use in future calculations.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_0t5pizng

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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