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3 cards from this section. Quick, good the night before a test.
What does it mean when a matrix is singular?
Consider the properties of determinants.
How is the condition number of a matrix calculated?
Think about what happens to a matrix and its inverse.
What indicates that a matrix is singular?
Think about how a determinant reflects the properties of a matrix.
True or False: An ill-conditioned system has a condition number close to 1.
Reflect on the meaning of sensitivity in systems.
Given the matrix A = [[1, 2], [2, 4]], determine if A is singular. Why or why not?
Consider the relationship between the rows or columns.
If κ(A) = 50, explain what this implies about the stability of a linear system using A.
Reflect on external factors that could affect the model.
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