1.For vectors of length N and matrices of size N x N, what order of magnitude of flopsdoes it take to do the following? (i.e. N, N2, N³, etc.)a. vector dot productb. scalar times matrixc. matrix times matrixd. matrix LU decompositione. matrix determinant

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For vectors of length N and matrices of size N x N, what order of magnitude of flops does it take to do the following? (i.e. N, N², N³, etc.) a. vector dot product b. scalar times matrix c. matrix times matrix

For vectors of length N and matrices of size N x N, what order of magnitude of flops does it take to do the following? (i.e. N, N², N³, etc.) a. vector dot product b. scalar times matrix c. matrix times matrix

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 56EQ

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Question

1.
For vectors of length N and matrices of size N x N, what order of magnitude of flops
does it take to do the following? (i.e. N, N2, N³, etc.)
a. vector dot product
b. scalar times matrix
c. matrix times matrix
d. matrix LU decomposition
e. matrix determinant

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