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Math Help - 3 Equations 3 unknowns need help solving

  1. #1
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    3 Equations 3 unknowns need help solving

    I have constants V1, V2 and R1, R2, R3, R4, R5. these are randomly generated

    i have equations, V1 = i1*R1+(i1-i2)*R4
    0 = i2*R2+(i2-i3)*R5+(i2-i1)*R4
    -V2 = i3*R3+(i3-i2)*R5

    i need to know what i1 is equal to when only given the constants
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  2. #2
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    Re: 3 Equations 3 unknowns need help solving

    Hey JayTahmer.

    Can you find a matrix for this system where Ax = b where x is the vector of i's, b is the right hand side (constants) and A is the system of equations? How much matrix stuff and linear algebra do you know?
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  3. #3
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    Re: 3 Equations 3 unknowns need help solving

    would the matrix be like this

    3 Equations 3 unknowns need help solving-codecogseqn.png

    3 Equations 3 unknowns need help solving-codecogseqn-1-.png

    3 Equations 3 unknowns need help solving-codecogseqn-2-.png
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  4. #4
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    Re: 3 Equations 3 unknowns need help solving

    solved.
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  5. #5
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    Re: 3 Equations 3 unknowns need help solving

    Well, in case helpful, your 3 equations reduce to:

    R2 * I2 + R3 * I3 - V1 + V2 = 0
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