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proxyIP
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Homework Statement
Find all possible values of rank(A) as a varies.
A=[1, 2, a]
[-2, 4a, 2]
[a, -2, 1]
A is 3x3, just merge the 3 row vectors.
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 as a varies? When do the columns/ranks become linearly dependent based on different values for a? 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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