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4 cards from this section. Quick, good the night before a test.
What does it mean for two matrices to be similar?
Think about the conditions for similarity.
State one property of similar matrices.
Review the invariant properties.
What is matrix similarity?
Focus on the definition of connection between different bases.
True or False: If two matrices are similar, they must be diagonalizable.
Consider the definitions and implications of diagonalizability.
Given matrix A = [[1, 2], [0, 1]] and matrix B = [[1, 1], [0, 1]], verify if A and B are similar through finding the appropriate matrix P.
Consider the effect of each matrix on a vector in their respective bases.
Construct a 3x3 matrix that is not diagonalizable but can still demonstrate similarity to a diagonal matrix.
Think about the Jordan form when constructing this matrix.
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