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visits member for 2 years, 2 months
seen Dec 3 at 3:35

Apr
26
asked Are these two permutation matrices equivalent?
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
Awesome, a confirmation. Thanks again.
Apr
26
revised Does one always use augmented matrices to solve systems of linear equations?
added 188 characters in body
Apr
26
accepted Does one always use augmented matrices to solve systems of linear equations?
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
Thank you! So sorry for the obvious messy question.
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
Updated the question, sorry for all the ambiguity.
Apr
26
revised Does one always use augmented matrices to solve systems of linear equations?
added 278 characters in body
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
@HenrySwanson, great, so if you're provided a $A$ and a $B$, you must augment $B$ as $[A|b]$ to properly solve the matrix right? This is just basic linear algebra, as we've just covered basic concepts, without any fancy mathwork.
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
So basically my question is, if you were forced to use matrices instead of easier equation subtraction/elimination (from grade school), must you augment the $3$ and $6$ (i.e. $[A|b]$ to properly solve the matrix? Otherwise you're kind of not performing EROs to each side, if you only solve $[A]$ right? My question may seen stupidly obvious, but I guess I'm confused...
Apr
26
revised Does one always use augmented matrices to solve systems of linear equations?
added 177 characters in body
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
Oh, I guess I meant, specific to linear algebra homework/test problems where you're given $Ax = b$ and told to solve it using matrix elimination. Sorry!
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
I'm afraid I still don't understand. Can't you perform row operations on just $[A]$ instead of $[A|b]$?
Apr
26
comment Does one always use augmented matrices to solve systems of linear equations?
Why not? Are you saying you could rearrange the equations as $x + 0y - 3 = 0$ and $-x + y - 6 = 0$?
Apr
26
asked Does one always use augmented matrices to solve systems of linear equations?
Feb
26
accepted What is the intuitive meaning of the basis of a vector space and the span?
Feb
25
asked What is the intuitive meaning of the basis of a vector space and the span?
Jan
25
revised Order of operations of multiple Matrix Elementary Row Operations
deleted 704 characters in body
Jan
25
comment Order of operations of multiple Matrix Elementary Row Operations
I was finally able to reproduce this correct solution. Thank you for all your help.
Jan
24
comment Order of operations of multiple Matrix Elementary Row Operations
Also, I think I'm not understanding $E_{13}E_{31}$ anymore. What is the order of multiplying those two matrices on a matrix $A$? Is it $E_{13} * E_{31} * A$? Or $E_{31} * E_{13} * A$? Or $A * E_{13} * E_{31}$? Or $A * E_{31} * E_{13}$?
Jan
24
accepted Order of operations of multiple Matrix Elementary Row Operations