Consider solving AX = B for X, where A is n-byn, and X and B are n-by-m. There are two obvious algorithms. The first algorithm factorizes A = PLU using Gaussian elimination and then solves for each column of X by forward and back substitution. The second algorithm computes A-' using Gaussian elimination and then multiplies X = A-1B. Count the number of flops required by each algorithm, and show that the first one requires fewer flops.

When determining the classification of data, which one of the following is the most important consideration? a. processing systemb. valuec. storage mediad. accessibility

Ap practice - performance task response the ap create performance task asks you to write about an abstraction that you developed and wrote into your code. most of the time that means identifying a function or procedure you wrote to "manage complexity" in your program. here is the actual prompt from the create performance task: 2d. capture and paste a program code segment that contains an abstraction you developed individually on your own (marked with a rectangle). this abstraction must integrate mathematical and logical concepts. explain how your abstraction manage the complexity of your program. (must not exceed 200 words) below is a segment of code from an "under the sea" program with a rectangle drawn around a portion of the code identifying an abstraction. imagine that you wrote this and are composing an ap response about how this abstraction manages complexity. (note: ignore the requirement that the abstraction integrate "mathematical and logical concepts" for this practice response. just write about managing complexity). explain how the abstraction marked with the rectangle in the code above manage complexity of this program. write your response here submit

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