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3 cards from this section. Quick, good the night before a test.
What is a requirement for two matrices to be multiplied?
Think about the dimensions of both matrices.
What is the computational cost of multiplying a 5x3 matrix with a 3x2 matrix?
Use the formula: rows_A * cols_A * cols_B.
How many computations does it take to multiply matrices A (m x n) and B (n x p)?
Consider the dimensions' multiplication in your calculations.
True or False: Matrix multiplication is commutative.
Think about matrix properties and examples to support your answer.
Calculate the minimum number of multiplications needed for matrices A (10x100), B (100x5), C (5x50), D (50x200) using dynamic programming principles.
Evaluate each combination to find the least expensive set of operations.
Describe how the choice of multiplication order impacts the dimensions of intermediate matrices and the overall cost. Give an example with specific sizes.
Illustrate using dimensions and remember that earlier combinations can lead to bigger matrices.
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