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3 cards from this section. Quick, good the night before a test.
What is the maximum rank of a 4x5 matrix?
Consider the smaller dimension.
Is the rank of a matrix always less than its number of rows?
Think about independence.
What is the rank of a matrix?
Recall the definition in context.
Is the rank of a 2x3 matrix always 2 or less?
Consider matrix dimensions.
Given the matrix [2 4 6; 1 2 3; 3 6 9], find its rank and justify your answer with calculations.
Try reducing it to echelon form.
Consider a 4x4 identity matrix. What is its rank, and explain why?
Recall how identity matrices function.
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