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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 10EQ

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11. Show that the polynomials {1, x, x², x³} are linearly independent set in P3.
12. State why< u, V >= U₁V₁ − 4U₂ V₂ + U3V3 is not an inner product in R³.
13. Find the least square regression line for the set of points {(1,3), (2,4), (3,4), (4,6)}.

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Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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