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 Oct 11 awarded Popular Question Jun 18 awarded Famous Question Jun 13 awarded Popular Question Jun 7 comment What is the dimension of the space $V$ of all matrices $S$ I really wished you had worked more of the problem out. I'm having a hard time following the reasoning. Apr 27 comment Determine rank and nullity of linear transformation between polynomial of degree $\leq$ 5 to $R^6$ got it. but what about the second part? Apr 27 comment Determine rank and nullity of linear transformation between polynomial of degree $\leq$ 5 to $R^6$ I'm not sure what should follow the "so..." Apr 27 asked Determine rank and nullity of linear transformation between polynomial of degree $\leq$ 5 to $R^6$ Apr 27 asked Trouble finding Jordan Normal form for $4 \times$ 4 matrix Apr 25 comment Proving rank of $AB$ is at most equal to rank of $B$ I've looked at your answer for the past couple of days, and I still don't get it. What does $(AB)R^p) = A(B(R^p)) \subset A(R^n)$ prove? Apr 23 comment Showing that linear transformations $1, T, T^2, T^3 ,\dots$ do not span the set of linear transformations of $\mathbb C^n$ into $\mathbb C^n$ like your answer. But could you just add a bit more detail for your last statement? Perhaps, an example? Apr 23 accepted Showing that linear transformations $1, T, T^2, T^3 ,\dots$ do not span the set of linear transformations of $\mathbb C^n$ into $\mathbb C^n$ Apr 22 comment How to use Cayley-Hamiltonian theorem in proving upper bound on linear space $W$? even if $a \neq b$? Isn't the dimension of the new I, call it $I' = a\left(\begin{array}{cc}1 & 0 \\0 & 0\end{array}\right) + b\left(\begin{array}{cc}0 & 0 \\0 & 1\end{array}\right)$. Doesn't $I'$ have dimension 2? Apr 22 comment Question about projecting vector onto Subspace Just to make sure that I'm tracking: the projection listed above is the vector subspace = span($v_1,v_2$) that is closest to $v$? Apr 22 revised Question about projecting vector onto Subspace fixed spelling Apr 22 comment How to use Cayley-Hamiltonian theorem in proving upper bound on linear space $W$? If $I$ would have been $\left(\begin{array}{cc}a & 0 \\0 & b\end{array}\right)$, would the dimension of $W$ now be 2 (with A being the zero matrix)? Apr 22 comment How to use Cayley-Hamiltonian theorem in proving upper bound on linear space $W$? @Yuval 1, correct? Apr 22 comment dimension of the vector space using matrices You mean everything on the entire page answers the OP's question? Apr 22 asked How to use Cayley-Hamiltonian theorem in proving upper bound on linear space $W$? Apr 22 comment dimension of the vector space using matrices where on the wikipedia page should I look? Apr 22 accepted Show that if $AA^t = A^tA$, then $A=A^t$