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2 cards from this section. Quick, good the night before a test.
What is the transpose of the matrix [[1, 2], [3, 4]]?
Remember to switch rows and columns.
If C = [[5, 6, 7]], what is C^T?
Think about how you can represent a row as a column.
What does the transpose of a matrix do?
Think about the arrangement of elements.
True or False: The transpose of the transpose of a matrix returns the same matrix.
Recall the property of double transposition.
Given a matrix F = [[1, 0, 2], [3, 4, 5]], compute F^T and verify the property (F^T)^T = F.
Always switch the rows and columns in your calculations.
Let G be a 2x2 matrix: G = [[a, b], [c, d]]. Show that G^T is equal to its matrix operation under commutation with respect to addition.
Consider how transposing impacts each element's position.
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