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Mathematics 9 Online
OpenStudy (darkbluechocobo):

Matrices Help Please

OpenStudy (darkbluechocobo):

OpenStudy (darkbluechocobo):

I chose B and I eliminated A and C

OpenStudy (darkbluechocobo):

So it is B or D

OpenStudy (anonymous):

actually you can eliminate C and D right away. since convention is ax + by = c your linear equation represents: \[\left[\begin{matrix}-1 & 2 &|&1 \\ 3& -1 & |&2\end{matrix}\right]\]

OpenStudy (anonymous):

linear system of equations *

OpenStudy (darkbluechocobo):

o_o so its b

OpenStudy (anonymous):

yes

OpenStudy (darkbluechocobo):

Would you allow me to finish the rest of these questions with you lol I actually trust your answers

OpenStudy (anonymous):

ya np ^_^

OpenStudy (darkbluechocobo):

:D Yay thank you :3

OpenStudy (darkbluechocobo):

OpenStudy (darkbluechocobo):

I chose C and eliminated A and D

OpenStudy (darkbluechocobo):

i thought it could only be B or C

OpenStudy (anonymous):

B and D are the ones to eliminate because of the form of the equation. A and C make sense. the solution however is (3, 1) [C]

OpenStudy (darkbluechocobo):

see idk why i think this, but the ones that have the matching numbers such in this one 4,9 as the answer i eliminate them

OpenStudy (anonymous):

as improper as it is, you actually can do that since the only matrix that would satisfy solution (4, 9) is the identity matrix: \[I = \left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]

OpenStudy (anonymous):

i guess this even allows you to find answer without solving A and C have right form but i could have eliminated A right away because of its proposed solution

OpenStudy (darkbluechocobo):

Yes :p these i find the easiest, and the next question is easy. I just want to make sure I chose the next one

OpenStudy (darkbluechocobo):

I chose the first one

OpenStudy (anonymous):

fisrt one is right since convention is always row x column

OpenStudy (darkbluechocobo):

Yay :D

OpenStudy (anonymous):

Warkk! lol

OpenStudy (darkbluechocobo):

O: YOU KNOW CHOCOBOS

OpenStudy (darkbluechocobo):

and i chose the 1st one

OpenStudy (anonymous):

of course :P

OpenStudy (darkbluechocobo):

<3 lol you just earned my fanship

OpenStudy (darkbluechocobo):

I ment the 2nd one

OpenStudy (anonymous):

it isn't. A^2 is not squaring every entry of A but is really the dot product A*A

OpenStudy (darkbluechocobo):

o

OpenStudy (darkbluechocobo):

in that case c

OpenStudy (darkbluechocobo):

D*

OpenStudy (anonymous):

yup. D :P

OpenStudy (darkbluechocobo):

Wark!!!!!!!!!!

OpenStudy (darkbluechocobo):

OpenStudy (anonymous):

Kweh!!

OpenStudy (darkbluechocobo):

I don't know where to go with this one

OpenStudy (darkbluechocobo):

actually

OpenStudy (darkbluechocobo):

i just realized... This system of equations is half of the other equation

OpenStudy (anonymous):

yes. and you can deduce the answer from that. i think It's weird that they mention Cramer's rule. it isn't necessary

OpenStudy (darkbluechocobo):

well would it be B

OpenStudy (anonymous):

no. it would be D. these 2x2 systems of linear equations represent 2 lines. and there are only 3 possible scenarios for 2 lines to have: |dw:1384800298431:dw| we are dealing with case 3. D = determinant which is 0 in our case

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