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I tried googling this first and of course looked at my notes but the questions asked pertaining to dimensions were confusing me more so I thought I'd ask directly.

Sorry for asking the same question I'm sure someone else has asked.

Okay. So, to find the dimension, do I first make sure it's a basis ( linearly independent & spans )

then find how many non-zero rows the original matrix A had or

do I reduce the original matrix A to REF or RREF

Thank you for the help.

Sorry for asking the same question I'm sure someone else has asked.

Okay. So, to find the dimension, do I first make sure it's a basis ( linearly independent & spans )

then find how many non-zero rows the original matrix A had or

do I reduce the original matrix A to REF or RREF

**after**I made sure it's a basis THEN count how many non-zero rows it has?Thank you for the help.

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