Tricky Question | Mathematics | Page 1

nova fox Dec 28, 2023, 5:15 PM

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Screenshot_2023-12-29-01-15-24-39_e2d5b3f32b79de1d45acd1fad96fbb0f.jpg

obtuse jasperBOT Dec 28, 2023, 5:15 PM

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versed axle Dec 28, 2023, 5:43 PM

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$\begin{bmatrix} x_1 & y_1 \ x_2 & y_2 \ ax_1 + bx_2 & ay_1 + by_2 \end{bmatrix}$

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hmm

worthy vergeBOT Dec 28, 2023, 5:45 PM

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lebesgue

versed axle Dec 28, 2023, 5:45 PM

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let me think

nova fox Dec 28, 2023, 5:45 PM

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can you do it without using linear algebra tricks

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but it's alright if you want to

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I'm supposed to solve this without linear algebra or matrix stuff

versed axle Dec 28, 2023, 5:47 PM

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nova fox I'm supposed to solve this without linear algebra or matrix stuff

oh yeah dw abt that its easier for me to think in matrix terms

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ill convert it back to algebra

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i dont have a pen n paper w me now so

nova fox Dec 28, 2023, 5:47 PM

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thanks!

versed axle Dec 28, 2023, 5:47 PM

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at the gym

nova fox Dec 28, 2023, 5:47 PM

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yeah it's cool dw

versed axle Dec 28, 2023, 5:49 PM

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its definitely yes

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but im still thinking how to express equation 1 using a and b

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$x_3 = ax_1 + bx_2$

worthy vergeBOT Dec 28, 2023, 5:50 PM

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lebesgue

versed axle Dec 28, 2023, 5:51 PM

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$x_1 = \frac{x_3 - bx_2}{a}$

worthy vergeBOT Dec 28, 2023, 5:51 PM

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lebesgue

versed axle Dec 28, 2023, 5:52 PM

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$c = \frac{-b}{a}$

worthy vergeBOT Dec 28, 2023, 5:52 PM

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lebesgue

versed axle Dec 28, 2023, 5:52 PM

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$d = \frac{1}{a}$

worthy vergeBOT Dec 28, 2023, 5:52 PM

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lebesgue

versed axle Dec 28, 2023, 5:52 PM

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does this help?

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@nova fox

nova fox Dec 28, 2023, 5:58 PM

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worthy verge **lebesgue**

how were you able to come up with this?

versed axle Dec 28, 2023, 5:59 PM

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algebra

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$x_1 = \frac{1}{a} \times x_3 + \frac{-b}{a} \times x_2$

worthy vergeBOT Dec 28, 2023, 6:01 PM

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lebesgue

versed axle Dec 28, 2023, 6:04 PM

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okay lets restart, I think my explanation is pretty messy

nova fox Dec 28, 2023, 6:04 PM

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nah it's fine bro I'm just doing it in my head

versed axle Dec 28, 2023, 6:05 PM

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let $x = ax_1 + bx_2 + cx_3 + ...$

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shit

worthy vergeBOT Dec 28, 2023, 6:06 PM

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lebesgue

versed axle Dec 28, 2023, 6:07 PM

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let $y = dy_1 + ey_2 + fy_3 + ...$

worthy vergeBOT Dec 28, 2023, 6:07 PM

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lebesgue

versed axle Dec 28, 2023, 6:07 PM

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let $z = gz_1 + hz_2 + iz_3 + ...$

worthy vergeBOT Dec 28, 2023, 6:07 PM

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lebesgue

versed axle Dec 28, 2023, 6:08 PM

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if $ax + by = z$

worthy vergeBOT Dec 28, 2023, 6:08 PM

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lebesgue

versed axle Dec 28, 2023, 6:09 PM

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then $x = \frac{-b}{a}y + \frac{1}{a}z$

worthy vergeBOT Dec 28, 2023, 6:09 PM

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lebesgue

versed axle Dec 28, 2023, 6:10 PM

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if $x = cy + dz$

worthy vergeBOT Dec 28, 2023, 6:10 PM

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lebesgue

versed axle Dec 28, 2023, 6:10 PM

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then $c = \frac{-b}{a} \text{ and } d = \frac{1}{a}$

worthy vergeBOT Dec 28, 2023, 6:10 PM

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lebesgue

versed axle Dec 28, 2023, 6:12 PM

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@nova fox does that help?

nova fox Dec 28, 2023, 6:13 PM

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yep it does

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I'm just trying to figure it out right here cause I don't have a pen and paper too

versed axle Dec 28, 2023, 6:14 PM

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fair haha

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but when it comes to linear equations

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matrix is the way to go

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the whole field is designed to solve linear equations after all

nova fox Dec 28, 2023, 6:15 PM

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yeah but I'd like to do it without doing that

versed axle Dec 28, 2023, 6:15 PM

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you will eventually have to, it makes your life 100x easier

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trust

nova fox Dec 28, 2023, 6:15 PM

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I'll get to it during college

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seems like you study cs

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I'll also be taking cs so it's bound to happen

versed axle Dec 28, 2023, 6:16 PM

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nah I dont study cs

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i study ds

nova fox Dec 28, 2023, 6:17 PM

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but they're similar

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kinda

versed axle Dec 28, 2023, 6:17 PM

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basically 60% stats, 30% cs and 10% maths

versed axle Dec 28, 2023, 6:17 PM

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nova fox but they're similar

not rlly

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you dont study analysis in cs

nova fox Dec 28, 2023, 6:19 PM

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would you say that ds is a good course to take?

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I'm also thinking of taking it

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I'll get back to the problem when I wake up tomorrow, I wasn't really planning on finishing it right now haha

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because I was about to sleep

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just questioned it here so I can get back into it tomorrow with some guide already

versed axle Dec 28, 2023, 6:33 PM

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nova fox would you say that ds is a good course to take?

depends on the university tbh

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it is an emerging field, if ur into AI or quant then its a good course to take

nova fox Dec 29, 2023, 12:05 PM

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I'm still confused

nova fox Dec 29, 2023, 12:35 PM

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oh i get it now

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now that uh

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wait im thinking

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what makes the answer to letter a yes?

nova fox Dec 29, 2023, 12:39 PM

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worthy verge **lebesgue**

are these the constants that when multiplied to equation 2 and 3 equal to equation 1?

versed axle Dec 29, 2023, 12:42 PM

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yes

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you can try it yourself

nova fox Dec 29, 2023, 12:47 PM

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and they're also just the c and d in terms of a and b right?

nova fox Dec 29, 2023, 1:34 PM

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I've finally found peace and got my answer

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.solved

#Tricky Question