Akshay_Budhkar
A bit of tricky question on complex numbers.. try it guys for fun..
What are the answers to
1.√(-1 * -1) and
2.√(-1)*√(-1)
a.1
b.-1....
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Raioner
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1. 1
Raioner
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2.1i^2=-1
Akshay_Budhkar
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myininaya i wanted others to answer it.. lol!!!
myininaya
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oops i can delete
myininaya
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lol
Raioner
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myinaya can you take a look at my problem i had a couple days ago?
myininaya
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sure is it a quick one i have to go to bed
Akshay_Budhkar
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Raioner give the link.. even i will give a try
Akshay_Budhkar
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try answering it joe.. lol!!!
joemath314159
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i feel like its a trap >.> lol
Akshay_Budhkar
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still answer no..
joemath314159
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isnt the first one 1 and the second one -1? or am i not giving this problem the attention it deserves?
myininaya
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joe its not a trap
Akshay_Budhkar
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i made it look like a trap.. lol!! ur right
Alchemista
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I don't really understand how it is tricky? This is just order of operations and complex numbers.
joemath314159
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Alchemista, nothing is tricky to you!
myininaya
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lol
its not tricky
it wasn't meant for us people who have already passed algebra
Akshay_Budhkar
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well ppl can answer the second one as 1 too as Raioner did in the first reply... @Alchemista
myininaya
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yea raioner did a good job :)
go raioner!
joemath314159
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i dont know what im doing up <.< i have class tomorrow morning >.>
myininaya
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i said gn and im still here
Alchemista
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I haven't seen any linear algebra on here for a while
Akshay_Budhkar
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oh...
joemath314159
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ive noticed too Alchemista, and it saddens me =/
Akshay_Budhkar
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you mean to say questions on linear algebra?? @Alchemista
Alchemista
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yes
joemath314159
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maybe during the fall semester it will pick up? maybe the actual Linear Algebra 18.06 thread will be alive?
joemath314159
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i can only dream~
Alchemista
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and there certainly isn't any abstract algebra stuff
myininaya
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ok here is an easy linear algebra problem:
show that a n by n matrix with zeros everywhere except on the diagonal of the matrix has the diagonal entries as eigenvalues
Akshay_Budhkar
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if u want i can ask you guys some questions by tomorrow..But i believe the others must ask... We can ask them to ask such questions...
myininaya
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i know its easy but u wanted a linear algebra problem lol
myininaya
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whats that matrix called a diagonalized matrix?
myininaya
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i cant remember the name
Alchemista
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It is a diagonal matrix
myininaya
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ok lol
joemath314159
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i still havent answered that one problem i asked a while back. I was able to prove that if A is an invertible matrix with integer entries, and its inverse also has invertible entries, then the det A must be 1 or -1 (as per Alchemista's suggestion, thank you again). But i dont see how to use that fact to solve the problem.
joemath314159
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Had to prove it before I could use it anywhos.
myininaya
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ok i must really go to bed
gn
joemath314159
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lates :)
Akshay_Budhkar
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gn.. meet you tomorro
Akshay_Budhkar
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joe u also leaving?
joemath314159
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i really need to =/ i have less than 8 hours till class, gotta get some sleep >.<
Akshay_Budhkar
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oh ok...
Akshay_Budhkar
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bye...
joemath314159
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is this your normal time frame? during the week i should be on around now for a while. Mondays are the only days where my sleep schedule is off lol.
Akshay_Budhkar
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how did myininaya factorize ths 25x^2-2576x+9904???
joemath314159
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jesus O.o the polynomial is ridiculous
Raioner
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\[25x^{2}-2576x+9904\]
joemath314159
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if it was me, i would have just went to wolframalpha.com to see what the roots are.
Akshay_Budhkar
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Raioner wants it ..... i would have done the same.. lol!
joemath314159
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wait....9904...is that something squared? maybe.....
Alchemista
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\[(x-4)(25x-2476)\]
joemath314159
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nope its not.
Raioner
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how did you do that alchemista?
Akshay_Budhkar
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yup thats what she got... how did u do that Alchemista?
Alchemista
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There are many ways you can find the roots (factoring is one of them).
You can complete the square or use the quadratic formula.
joemath314159
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mathemagic...lolol i saw someone post this word yesterday.
Raioner
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o pellet yea ax^2+bx+c
Akshay_Budhkar
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yup she asked y mathematics was called mathemagic.
Raioner
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didn't even think of that. brilliant. Thanks man.
Alchemista
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There actually is something called "mathemagics" well its someone who performs quick mental computations using mnemonic devices.
Raioner
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Thanks guys. time for bed.
Akshay_Budhkar
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mnemonic devices. whats that?
joemath314159
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sounds interesting o.O i might have to google that sometime. Lates Raioner.
Akshay_Budhkar
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joe less dan 7 hours left for ur class.. lol!!!
joemath314159
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lol >.< no idea why im up :)
joemath314159
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that was amazing o.O