A [[Matrix]] is an [[Ordered Set]] of [[Vector|Vectors]] in the same dimension. $ \huge A_{n\times m} = \mat{\vec A_{1}, \vec A_{2} \cdots, \vec A_{n} } $ >[!important] Relation to [[../Math/Augmented Matrix|Augmented Matrix]] >$ \op{rref}\pa{A} \ne A $ > A given [[Matrix]] $A$ will have some similar properties as its [[../Math/Reduced Row Echelon Form|RREF]] form, but not *all*, therefore should be marked as similar $\sim$ not equal ($=$). #### Notation Usually denoted with a capital letter, and for each term it is usually denoted as $a_{i,j}$. $\huge \vec A_{1} = \mat{ a_{1,1}\\ a_{2,1} \\\vdots}$