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Thread: 1.1.10 matrix simulatanious 5x4

  1. #1
    Super Member bigwave's Avatar
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    1.1.10 matrix simulatanious 5x4

    $$\left[\begin{array}{rrrrr}
    1& \,3& \,0& \,-2& \,-7\\
    0& 1& 0& 3& 6\\
    0& 0& 1& 0& 2\\
    0& 0& 0& 1& -2
    \end{array}\right]
    %\stackrel{a}{\sim}
    $$
    $$\begin{array}{rrrrrrl}\displaystyle
    x_1& +3x_2& & -2x_4& =&-7&\qquad(1)\\
    & x_2& & +3x_4& =& 6&\qquad(2)\\
    & & x_3& & =& 2&\qquad(3)\\
    & & & x_4& =&-2&\qquad(4)\\
    \end{array}$$
    $\textit{$x_4=-2$ so then}$
    $$\begin{array}{rrrrrrll}\displaystyle
    %x_1& +3x_2& & -2(-2)& =&-7 &\qquad(5)\\
    & x_2& & +3(-2)& =& 6 &\qquad(6)\\
    \end{array}$$
    $\textit{From (2) $x_2=6+6=12$}\\$
    $\textit{Now we have $x_2=12, \,x_4=-2$}$
    $$\begin{array}{rrrrrrl}\displaystyle
    x_1& +3(12)& & -2(-2)& =&-7 &\qquad(7)\\
    x_1& +36& & +4& =&-7 &\qquad(8)\\
    &&&&x_1&=??
    \end{array}$$

    ok I ran this on W|A and it returned $\displaystyle x_1=-35,x_2=8,x_3=2,x_4=-2,$

    but can"t find the errors
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  2. #2
    MHF Contributor
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    Re: 1.1.10 matrix simulatanious 5x4

    Quote Originally Posted by bigwave View Post
    $$\left[\begin{array}{rrrrr}
    1& \,3& \,0& \,-2& \,-7\\
    0& 1& 0& 3& 6\\
    0& 0& 1& 0& 2\\
    0& 0& 0& 1& -2
    \end{array}\right]
    %\stackrel{a}{\sim}
    $$
    $$\begin{array}{rrrrrrl}\displaystyle
    x_1& +3x_2& & -2x_4& =&-7&\qquad(1)\\
    & x_2& & +3x_4& =& 6&\qquad(2)\\
    & & x_3& & =& 2&\qquad(3)\\
    & & & x_4& =&-2&\qquad(4)\\
    \end{array}$$
    $\textit{$x_4=-2$ so then}$
    $$\begin{array}{rrrrrrll}\displaystyle
    %x_1& +3x_2& & -2(-2)& =&-7 &\qquad(5)\\
    & x_2& & +3(-2)& =& 6 &\qquad(6)\\
    \end{array}$$
    $\textit{From (2) $x_2=6+6=12$}\\$
    $\textit{Now we have $x_2=12, \,x_4=-2$}$
    $$\begin{array}{rrrrrrl}\displaystyle
    x_1& +3(12)& & -2(-2)& =&-7 &\qquad(7)\\
    x_1& +36& & +4& =&-7 &\qquad(8)\\
    &&&&x_1&=??
    \end{array}$$

    ok I ran this on W|A and it returned $\displaystyle x_1=-35,x_2=8,x_3=2,x_4=-2,$

    but can"t find the errors
    using the matrix written above Mathematica returns

    $\{-47,12,2,-2\}$

    you entered it into WA incorrectly.
    Thanks from topsquark and bigwave
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  3. #3
    Super Member bigwave's Avatar
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    Re: 1.1.10 matrix simulatanious 5x4

    ok I saw the error

    never ever used Mathematica!

    btw where do you set the thread as "solved"
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