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3 cards from this section. Quick, good the night before a test.
Explain the first step in the Gaussian Elimination method.
Think about how you manipulate the equations.
What is back-substitution in the context of solving linear equations?
Consider how you start with the last equation.
What is the first step of the Gaussian elimination method?
Remember the order of operations.
True or False: Gaussian elimination is efficient for large systems of equations.
Consider the computational cost.
Solve the following system using Gaussian elimination rigorously: 3x + 4y + z = 1; 2x + y + 3z = 2; x + 2y + 2z = 0.
Write the augmented matrix and perform stepwise elimination.
Consider a scenario where you have a very large system of linear equations (above 100 variables). Discuss the efficiency and appropriateness of using Gaussian elimination.
Think about the number of calculations required.
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