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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 *
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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
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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
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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
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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
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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
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OpenStudy (darkbluechocobo):
D*
OpenStudy (anonymous):
yup. D :P
OpenStudy (darkbluechocobo):
Wark!!!!!!!!!!
OpenStudy (darkbluechocobo):
OpenStudy (anonymous):
Kweh!!
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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
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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