40.2: Under Defined Systems
- Page ID
- 70542
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An under-defined system is one that is non-invertible and the number of unknowns is more than the number of knowns. These system often have infinite numbers of possible solutions and solving them involves finding a set of simplified equations that represent all solutions.
Often the simplest way to solve an under-defined systems of equations is to extract the solution directly from the reduced row echelon form.
What is the reduced row echelon form of the matrix \(A= \left[\begin{matrix} 1 & 3 \\ 2 & 6 \end{matrix}\right]\).
What are the solutions to the above systems of equations if \(b= \left[\begin{matrix} 10\\ 3 \end{matrix}\right]\)?