# B Finding Bases for Row and Column Spaces

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1. Mar 16, 2019 at 9:22 PM

### a1234

I'm doing problems on finding row and column spaces. My textbook tells me to find the echelon form of the matrix, and then to identify the bases. My question is, can I reduce the matrix to reduced echelon form to get the bases? I have the same question about bases for the solution space.

Last edited by a moderator: Mar 17, 2019 at 7:22 AM
2. Mar 17, 2019 at 2:56 PM

### Ray Vickson

Why not? Have you tried it for yourself? Just take a simple example involving, for example, the row space for a particular three by three matrix, then try both reductions and see what you get.