What dimension is P3 (the set of polynomials degree 3 or less)? Which of the following sets form a basis for P3? O {2a?, æ, 0, x³} O {2 + a°, – 2æ², x, – 5, 2x + 3} - O{3, – a°, 2} O{1, 2x, – 32?, 2a*} O {2a?, x, – 5, 2 + a*} - -

What dimension is P3 (the set of polynomials degree 3 or less)? Which of the following sets form a basis for P3? O {2a?, æ, 0, x³} O {2 + a°, – 2æ², x, – 5, 2x + 3} - O{3, – a°, 2} O{1, 2x, – 32?, 2a} O {2a?, x, – 5, 2 + a} - -

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 16AEXP

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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What dimension is P3 (the set of polynomials degree 3 or less)?
Which of the following sets form a basis for P3?
O {2a°, z, 0, z³}
a²}
O {2 + x°, – 2x², x, – 5, 2x + 3}
-
O {3, – a°, z}
O{1, 2x, – 32?, 2x³}
{2a?, x, – 5, 2 + 2*}
-

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