How to Build a Matrix

From solving simple systems of linear equations to performing the most complex finite element analysis, matrices are a critical tool in mathematics. A matrix is a collection of numbers arranged in rows and columns used to solve equations. Matrices can be added, multiplied, inverted and otherwise manipulated to solve a wide variety of problems. Gaussian elimination is the most basic method for solving matrix equations, but before you can do any of this, you must be able to build a matrix.

Things You'll Need

  • Set of equations
  • Paper and pencil
  • Matrix-solving software like MatLab (optional)
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Instructions

    • 1

      Write your linear equations on separate lines.

    • 2

      Copy all of the x-coefficients into the first column of your matrix.

    • 3

      Copy all of the y-coefficients into the second column of your matrix.

    • 4

      Copy all of the z-coefficients into the third column of your matrix.

    • 5

      Use the right-hand side of the equations to build the single column solution matrix.

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