List of Things to Know that Make You Seem Smarter

Pre-College Topics High School Life
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<p>I’m familiar with this.</p>

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<p>Lol, YES</p>

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<p>I can’t imagine that.</p>

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<p>It’s not our fault everyone else is inferior.</p>

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<p>Let T : V –> W and U : W –> Z be invertible linear transformations. Prove
that UT is invertible with inverse (T^-1)(U^-1)�^-11(U^-U􀀀1.</p>

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<p>shut up tcbh…lol.</p>

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<p>Three cards are randomly chosen without replacement from a deck of 52 cards. Calculate
the expected number of aces given nothing, given that the ace of hearts is chosen, and
given that at least one ace is chosen.</p>

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<p>Maybe he is typing questions off of his homework sheet.</p>

<p>Take comfort in the fact that he’s majoring in math.</p>

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<p>^^…1/832… o_O</p>

<p>I know he is, but still.</p>

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<p>Yep, these are all homework problems.</p>

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<p>ThisCouldBeHeavn, I’m going to hire you to be my tutor for next year. lol</p>

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<p>Just reading a lot and learning/using new words can make you seem smart. Pretty basic, but it also helps for the SAT.</p>

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<p>the capitals of all the countries in sub-Saharan Africa</p>

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<p>@ TCBH</p>

<p>If T is invertable and U is invertable then their composition is invertiable. I don’t know if this works over a general field but I think that if you are dealing with numbers in the finite dimensional reals then a matrix describing their combination is the product of the matrix describing the individual transformations. </p>

<p>Now let us call the combination of T and U some transformation R: V—>Z</p>

<p>Because R is invertable there are unique vector v1, v2 such that
R(v1) = z1, R(v2) = z2</p>

<p>therefore <a href=“z1%20+%20kz2”>R^-1</a> = <a href=“R(v1)%20kR(v2)”>R^-1</a>
= v1 + kv2
= <a href=“z1”>R^-1</a> + k<a href=“z2”>R^-1</a>
Thus invertability is preserved in the inversion in addition I believe that if you were to sub in for R to get whatever you put down with the squares…</p>

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<p>T is a linear operator over vector space V (finite dimensional). Suppose T had dimV distinct eigenvalues. Would T have a diagonal matrix with respect to some basis V?</p>

<p>(If you use Axler in your class you may well have done this problem before)</p>

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<p>I did. During middle school, myLife == chickLit however chickLit != myLife
Unfortunately.</p>

<p>Then I think I discovered CC, and found solace in other things.</p>

<p>And lol how you purposefully try to embody every stereotype related to people of your major.</p>

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<p>I lurve chicklit. Has anybody read the Stephanie Plum series?</p>

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I know some, but not all. I know the more familiar countries in africa.</p>

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<p>Let H=U.
Let C=a variable of U
Let T=A form of C
Let B=A matrix of U</p>

<p>If U is transformed through C^2, then what is the end result of the transformation.</p>

<p>TCBH.</p>

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<p>^Ooh I know! Pick me! Pick me!</p>

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<p>We actually don’t use a textbook, and we haven’t reached diagonal matrices yet, but when I took Linear Algebra before … the entries of a diagonal matrix are the eigenvalues…?</p>

<p>(The TA’s solutions to the previous problems are posted [url="<a href=“http://www.math.ucla.edu/~d.abdi/s10/exercises6.pdf"]here[/url"&gt;http://www.math.ucla.edu/~d.abdi/s10/exercises6.pdf"]here[/url</a>] and [url=”<a href="http://www.math.ucla.edu/~d.abdi/s10/exercises4.pdf"]here[/url"&gt;http://www.math.ucla.edu/~d.abdi/s10/exercises4.pdf"]here[/url</a>].</p>

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<p>lolwut</p>