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2 cards from this section. Quick, good the night before a test.
What is the rank of the matrix [[1, 2], [3, 4]]?
Count the number of non-zero rows.
Define 'rank' in the context of linear algebra.
Think about independence in vectors.
What is the rank of a zero matrix?
Think about independent vectors in a zero matrix.
True or False: The rank of a matrix can be greater than the number of its rows.
Reflect on the relationship between rank and the dimensions of a matrix.
For the matrix [[1, 0, 2], [0, 0, 0], [2, 0, 4], [3, 1, 0]], determine the rank and justify your answer.
Focus on transforming the matrix to see linear relationships.
Given a 5x4 matrix with rank 3, discuss the implications for the system it represents. What does this tell about its solutions?
Relate rank to unknowns in the system.
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