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Math Help - [SOLVED] Determine value of variables in a matrices

  1. #1
    Newbie majax79's Avatar
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    [SOLVED] Determine value of variables in a matrices

    Hello,

    I have what I think is a solution, but I'm not sure. I would certainly appreciate any help. Here is the problem:

    Determine the value of each variable.

    \left( {\begin{array}{*{20}{c}}<br />
   {x + 3} & {y + 4}  \\<br />
   7 & { - 1}  \\<br />
\end{array}} \right) = \left( {\begin{array}{*{20}{c}}<br />
   6 & 0  \\<br />
   7 & k  \\<br />
\end{array}} \right)

    My answer is x=3, y=3. Is that correct?
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  2. #2
    MHF Contributor
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    Quote Originally Posted by majax79 View Post
    Hello,

    I have what I think is a solution, but I'm not sure. I would certainly appreciate any help. Here is the problem:

    Determine the value of each variable.

    \left( {\begin{array}{*{20}{c}}<br />
   {x + 3} & {y + 4}  \\<br />
   7 & { - 1}  \\<br />
\end{array}} \right) = \left( {\begin{array}{*{20}{c}}<br />
   6 & 0  \\<br />
   7 & k  \\<br />
\end{array}} \right)

    My answer is x=3, y=3. Is that correct?
    Look at the corresponding components.

    x + 3 = 6

     y + 4 = 0

    7 = 7

    -1 = k.


    Solve for x, y, k.
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  3. #3
    Master Of Puppets
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    Just equate positions from one matrix to the other

    x+3=6

    y+4=0

    k=-1

    Spoiler:
    x=3, y=-4, k=-1
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  4. #4
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    I just tried to solve the sum ..Is the solution x=3 and y=-4 correct for the above sum "Prove it"??
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  5. #5
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    Yes. And it should be obvious that k = -1.
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