Solving Simultaneous Equations

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(10) Solving Simultaneous Equations

Solving Simultaneous Equations

Use backslash operator (\) to solve simultaneous equations

Solve for x₁,x₂,x₃

-x₁ + x₂ + 2x₃ = 2 3x₁ - x₂ + x₃ = 6 -x₁ + 3x₂ + 4x₃ = 4 Ax = b Try:a = [-1 1 2; 3 -1 1; -1 3 4]; b = [2;6;4]; x = a\b x = 1.000 -1.000 2.000
Note:
Given: [a] = m by n [x] = n x1 [b] = m by 1
For overdetermined systems (m>n):

left division uses least squares regression "curve fit" of data
you receive warning if the solution is not unique (dependent columns)

For under determined systems (m<n)

Left division uses QR factorization with column pivoting
Solution is not unique

Solving_Simul_Eqs.src last modified Sep 29, 2009

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