anonymous
  • anonymous
Evaluate: \(\left[\begin{matrix}1 & 2 &1 & 3 \\2&3&2&0\\3&1&0&1\\0&0&3&2\end{matrix}\right]\)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I got -102. Is it correct or did I get an arithmetic error somewhere?
anonymous
  • anonymous
I got -98
anonymous
  • anonymous
Hmm... Let me just double check everything here...

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More answers

anonymous
  • anonymous
\[3\left[\begin{matrix}1 & 2 &3\\ 2 & 3 &0\\3&1&1\end{matrix}\right] - 2\left[\begin{matrix}1 & 2 &1\\ 2 & 3 &2\\3&1&0\end{matrix}\right]\]Did you end up doing this?
TuringTest
  • TuringTest
determinant?
anonymous
  • anonymous
I think so.
TuringTest
  • TuringTest
must be method of cofactors, eh?
anonymous
  • anonymous
Yup...
asnaseer
  • asnaseer
I get 72. But maybe I made a mistake. Might be worth looking at this to help: http://people.richland.edu/james/lecture/m116/matrices/determinant.html
TuringTest
  • TuringTest
I get 72 as well
asnaseer
  • asnaseer
Look down that web page at the section titled "Larger Order Determinants"
TuringTest
  • TuringTest
another source for ya http://tutorial.math.lamar.edu/Classes/LinAlg/MethodOfCofactors.aspx
anonymous
  • anonymous
Well, 72 is one of my answer choices... I did it again, but I got - 72? I think it's just an arithmetic error on my part. THanks guys!
asnaseer
  • asnaseer
yw :) - crosses fingers in the hope that he did make a mistake :)
asnaseer
  • asnaseer
*did NOT ...
anonymous
  • anonymous
Wait, one last thing, when I find the determinants of the 3 x 3, can I just use the diagonal method (I'm not sure of the name) or do I have to use minors?
asnaseer
  • asnaseer
as @TuringTest said, use the method of cofactors - see the links we gave you.
anonymous
  • anonymous
Ok, once again, thank you :)
TuringTest
  • TuringTest
the problem in what you did is that you forgot that all elements on the diagonals will give positive minors.
TuringTest
  • TuringTest
I phrased that poorly, not sure how to say it without giving away the answer
asnaseer
  • asnaseer
Also, determinants are usually written with straight lines on either side of the matrix elements - instead of the square brackets that you used.
anonymous
  • anonymous
Oh! I got it! And @asnaseer for some reason, I see them written both ways when doing school work?
asnaseer
  • asnaseer
Hmmm - ok, well I was taught that straight lines is what should be used. Maybe the notation differs from country to country?
anonymous
  • anonymous
Perhaps.
TuringTest
  • TuringTest
if it's left in brackets it should at least say \(\det\) in front of it In the US we use what @asnaseer said
asnaseer
  • asnaseer
Here is an example of how we are taught in the UK: http://www.intmath.com/matrices-determinants/matrix-determinant-intro.php
asnaseer
  • asnaseer
Also, when working with algebra, if you have a matrix A, then we would write its determinant as either:\[|A|\]or:\[det(A)\]

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