anonymous
  • anonymous
Need genius math people's help !!!!! There are two matrices A and B. A = 4 -6 B= 5 1 4 -2 -1 -3 I want to find a matrix D which satisfies A+B+D=I and I got below the answer but it said still wrong. -8 5 -3 6 Please help me people !!!!!!!!!!!!!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
sdfgsdfgs
  • sdfgsdfgs
I= 1 1 1 1 right? if so, then -8 and 6 are right, re-calculate the other two.
anonymous
  • anonymous
Isn't I = 1 0 0 1 ???
UsukiDoll
  • UsukiDoll
yes a 2 x 2 identity matrix is 1 0 0 1

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UsukiDoll
  • UsukiDoll
hmmm latex for matrices is nasty.. so we have this equation A+B+D=I where A and B matrices are given. so we need to find Matrix D
sdfgsdfgs
  • sdfgsdfgs
@taejunlee sorry u are right of cuz...been a while since i looked at matrix. so ur ans should be right then. may be someone else can help u. good luck! :)
UsukiDoll
  • UsukiDoll
what if we rearrange this equation for a bit D =I-A-B like that and then use matrix addition and matrix subtraction ?
UsukiDoll
  • UsukiDoll
|dw:1437187726707:dw|
UsukiDoll
  • UsukiDoll
now use matrix subtraction. @taejunlee
UsukiDoll
  • UsukiDoll
blah...... we can start with the first two matrices and then that result - matrix B
UsukiDoll
  • UsukiDoll
|dw:1437188093151:dw|
anonymous
  • anonymous
so isn't answer -8 6 -2 6 ???
UsukiDoll
  • UsukiDoll
well let's check first... could you do the matrix in black (the one I drew) ?
anonymous
  • anonymous
that is -3 6 -4 3
UsukiDoll
  • UsukiDoll
excellent now we just need to do matrix subtraction with matrix b hold on a sec .. need to draw
UsukiDoll
  • UsukiDoll
|dw:1437188427336:dw|
anonymous
  • anonymous
and -8 5 -3 6....
UsukiDoll
  • UsukiDoll
which is the matrix you got in the first place... it should be right then. Why is it wrong?
anonymous
  • anonymous
well.. that was what I thought.. I better ask professor ..
UsukiDoll
  • UsukiDoll
|dw:1437188557694:dw|
UsukiDoll
  • UsukiDoll
that should end up to 1 0 0 1
UsukiDoll
  • UsukiDoll
you got the right matrix. It must be some bug in the online homework or the professor's stupidity or something
UsukiDoll
  • UsukiDoll
|dw:1437188718111:dw|
UsukiDoll
  • UsukiDoll
|dw:1437188725475:dw|
anonymous
  • anonymous
guess there is something wrong with online system.. anyways I really appreciate what you've done for me :)
UsukiDoll
  • UsukiDoll
hahah no problem :)
sdfgsdfgs
  • sdfgsdfgs
@taejunlee only thing i can think of is check the + signs in ur eqn n see if one may be a - instead.
UsukiDoll
  • UsukiDoll
@sdfgsdfgs he got the right matrix, so it wasn't the equation. It's some bug in his online stuff.
sdfgsdfgs
  • sdfgsdfgs
@UsukiDoll u are probably right - was just thinking may be the eqn should be A+B-D=I or something like that instead.
Empty
  • Empty
https://www.codecogs.com/latex/eqneditor.php
UsukiDoll
  • UsukiDoll
^ matrix in latex is crummy, but thanks for the link. still I prefer to draw in this case.
UnkleRhaukus
  • UnkleRhaukus
\[\begin{align} \textbf A+\textbf B+\textbf D &=\textbf I\\[2ex] \begin{pmatrix}4&-6\\4&-2\end{pmatrix} +\begin{pmatrix}5&1\\-1&-3\end{pmatrix} +\begin{pmatrix}d_{00}&d_{01}\\d_{10}&d_{11}\end{pmatrix} &=\begin{pmatrix}1&0\\0&1\end{pmatrix}\\[2ex] \begin{pmatrix}4+5&-6+1\\4-1&-2-3\end{pmatrix} +\begin{pmatrix}d_{00}&d_{01}\\d_{10}&d_{11}\end{pmatrix} &=\begin{pmatrix}1&0\\0&1\end{pmatrix}\\[2ex] \begin{pmatrix}9&-5\\3&-5\end{pmatrix} +\begin{pmatrix}d_{00}&d_{01}\\d_{10}&d_{11}\end{pmatrix} &=\begin{pmatrix}1&0\\0&1\end{pmatrix}\\[2ex] \begin{pmatrix}d_{00}&d_{01}\\d_{10}&d_{11}\end{pmatrix} &=\begin{pmatrix}1&0\\0&1\end{pmatrix}-\begin{pmatrix}9&-5\\3&-5\end{pmatrix}\\[2ex] \begin{pmatrix}d_{00}&d_{01}\\d_{10}&d_{11}\end{pmatrix} &=\begin{pmatrix}1-9&0+5\\0-3&1+5\end{pmatrix}\\[2ex] \textbf D &=\begin{pmatrix}-8&5\\-3&6\end{pmatrix} \end{align}\]
UsukiDoll
  • UsukiDoll
wow that looks nice.
UnkleRhaukus
  • UnkleRhaukus
\[\begin{bmatrix}\circ&&\circ\\&\angle\\&\smile\end{bmatrix}\]

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