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3 cards from this section. Quick, good the night before a test.
What is an example of row swapping on the following matrix: [[3, 5], [7, 2]]?
Consider the positions of the rows.
If you multiply the row [2, 4] by 3, what do you get?
Multiply each element by 3.
What are the three types of elementary row operations?
Recall our discussions about manipulating matrices.
True or False: Scalar multiplication can result in a row of zeros if the scalar is zero.
Think about the effects of multiplying by zero.
Using the 3x3 matrix [[2, 3, 4], [1, 2, 1], [5, 6, 7]], perform a series of row operations to bring this matrix to REF and determine its rank.
Work systematically to isolate leading ones.
Prove that using an elementary row operation will not change the rank of the matrix [[1, 0, 2], [2, 4, 6], [0, 0, 0]] by demonstrating a specific operation.
Examine how the relationships between rows stay intact.
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