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 1d accepted Dimension of $m\times n$ matrices 2d asked Dimension of $m\times n$ matrices Apr26 awarded Custodian Apr26 reviewed No Action Needed Writing down solutions of differential equations Apr25 accepted Rank of a linear map $f: \mathbb{R}^n \to \mathbb{R}^m$ is equal to $m$? Apr25 comment Rank of a linear map $f: \mathbb{R}^n \to \mathbb{R}^m$ is equal to $m$? That makes sense thank you. Can I then say that the $rank(f)\leq m$? Apr25 asked Rank of a linear map $f: \mathbb{R}^n \to \mathbb{R}^m$ is equal to $m$? Apr25 accepted Linear dependence under transformation Apr25 comment Linear dependence under transformation Yes, that's what I meant thank you! Apr25 comment Linear dependence under transformation Ok, let me rephrase my question, how do I know that $a,b,c$ don't change in $\mathbb{R}^4$? Apr25 comment Linear dependence under transformation Thank you but how do I know the $a,b,c$ of the second equation are not all $0$? Apr25 asked Linear dependence under transformation Apr7 accepted Proving merge sort is $O(n^2)$ using induction Apr7 comment Proving merge sort is $O(n^2)$ using induction Thank you, I've updated the question to clarify Apr7 revised Proving merge sort is $O(n^2)$ using induction added 131 characters in body Apr7 asked Proving merge sort is $O(n^2)$ using induction Apr4 comment Vector space span theorem Edited, was a typo thanks Apr4 revised Vector space span theorem deleted 2 characters in body Apr4 accepted Vector space span theorem Apr4 asked Vector space span theorem