How come dim row A = rank if dim Im A is also = rank?
60736
Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix
25019
How do comparison operators  work with a function as an operand?
133999
Does variables' order matter when doing == and === comparisons?
12242
How does string equality work in JavaScript?
39485
Why does ('0' ? 'a' : 'b') behave different than ('0' == true ? 'a' : 'b')
141961
What is the difference between [[ $a == z* ]] and [ $a == z* ]?
78575
If $A^2 = I$, then $\operatorname{rank} (A+I) + \operatorname{rank} (A-I) =n$
35897
Proof of: $AB=0 \Rightarrow Rank(A)+Rank(B) \leq n$
125415
Why is undefined == undefined but NaN != NaN?
44383
Finding rank of a matrix depending on parameter a
146541
Why $\dim U+\dim U^\perp=\dim V$?
737
With arrays, why is it the case that a[5] == 5[a]?
53633
Given two subspaces $U,W$ of vector space $V$, how to show that $\dim(U)+\dim(W)=\dim(U+W)+\dim(U\cap W)$
67058
Prove that $\text{rank}(X^TX)=\text{rank}(X)$
137148
If $A=\left( \begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array} \right)$, find the rank of $A+A^2+A^3$
135799
Trying to understand nested loops, identity matrix
43000
Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$