What is the appropriate way to find linearly independent column vectors in a square matrix?

Asked Jan 11 '21 at 05:44

Active Jan 12 '21 at 10:32

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I want to find linearly independent column vectors in a square matrix without using rref. In similar Stack Overflow questions, to find linearly independent columns in a square matrix, the recommended method is to use eigenvalue. If eigenvalue is zero, its corresponding eigenvector is linearly dependent but it is just relationship between eigenvector and eigenvalue. i seriously want to know which indices in a matrix are linearly independent.

thank you for your answering.

edited Jan 12 '21 at 10:32

asked Jan 11 '21 at 05:44

KKEONO

2

Does this answer your question? How to prove that eigenvectors from different eigenvalues are linearly independent – Hermis14 Jan 11 '21 at 07:53
in my cases, i want to find a linearly independent column vectors by using eigenvalues. that is, in 4x4 matrices i want to decide which column vectors are independent. – KKEONO Jan 12 '21 at 10:24

What is the appropriate way to find linearly independent column vectors in a square matrix?

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