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3 cards from this section. Quick, good the night before a test.
What characterizes an overdetermined system?
Think of the relationship between m (equations) and n (unknowns).
What method is typically used to find solutions in overdetermined systems?
Consider how we aim to minimize differences.
What is an overdetermined system?
Think about m vs n!
True or False: Overdetermined systems can always be solved exactly.
Consider the nature of the equations involved.
Given an overdetermined system represented as: 3x + 4y + z = 10, 5x + 6y - 2z = 20, 2x + y + 10z = 0, derive the normal equations and solve using least squares.
Break it down into establishing A and b matrices first.
In practical applications, how can you handle noise in data when using least squares? Discuss methods to improve results.
Think about how to deal with outlier data points and adjust your calculations.
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