(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all possible values of rank(A) asavaries.

A=[1, 2,a]

[-2, 4a, 2]

[a, -2, 1]

A is 3x3, just merge the 3 row vectors.

3. The attempt at a solution

I have the solution but I create this thread to find the most effective/efficient procedure for me to solve these kinds of problems.

What are the possible dimensions of the row/column space asavaries? When do the columns/ranks become linearly dependent based on different values fora? I don't want to guess or plug in arbitrary numbers; I want a generalized, systematic approach that works every time.

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# Rank of a matrix

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