Zero, One, or Infinitely Many Solutions? [Passing Linear Algebra]

Solution to example problem: 3:38
You only have to row reduce the augmented matrix to ROW ECHELON FORM to determine the number of solutions using the methods described.
In the example problem, the matrices were already in at least Row Echelon Form. Normally, you would have to do the row reduction yourself first.
At 2:09 what I was trying to say is that the system could have no solution regardless of whether there are free variables, but once you know the system is consistent (no pivot in augmented column), then figuring out if there are free variables tells you if there is a unique solution or infinitely many.

[@TRUNKY172839134679]

Finally someone with a general and simple answer.

[@AlanD20]

WHY DOES MY MATH TEACHER CAN'T EXPLAIN IT in 2-4 lectures? YOU ARE A LEGEND. Thank you so much for giving a simple example. the whole point was in 5m but my math teacher couldn't do that for 2-4 lectures smh.

[@Niiick_9]

short, easy to understand and stright to the point with examples. perfect

[@Larry-nd7gv]

Lol dude not even the textbook could explain it like this. Appreciate it.

[@lucialukas21]

I can't believe I understand this ❤, thank you very much

[@louis9116]

you nailed it brother

[@user-xb7wo5dl8h]

so clear, thank u

[@azomy0123456789]

THANK YOU SO MUCH !!!!!

[@tanveernihal426]

i needed this tysm

[@leslieflores5899]

Thanks dude!!!

[@alexanderrios7685]

Thabks xd, I haven't taken the class but my gf is at the moment and this just made it so simply and covered everything I was missing in my notes xd.

[@e2k220]

thanks bro you are the goat. xqcL

[@user-ly7fi6wm4j]

In the third problem, since the first column is both 0 couldn't we just ignore it? Wouldn't that result in 1 solution?

[@lazykoala1546]

Why did x2 for infinitely many solutions have (0 over 1)?

[@iana7958]

Why does this sound like niall horan is teaching me math

[@chloemonique9022]

I love you

[@zewdiherring9528]

🐐

[@user-co3jd3qj9z]

Damn I love u

[@jkscout]

what's a pivot?