Determine whether S is a basis for R3.S = {(4, 2, 3), (0, 2, 3), (0, 0, 3)}O sis a basis for R3.O S is not a basis for R3.If S is a basis for R3, then write u = (8, 2, 9) as a linear combination of the vectors in S. (Use s1, S2, and S3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.)

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Determine whether S is a basis for R3 S = {(4, 2, 3), (0, 2, 3), (0, 0, 3)} O S is a basis for R3. O S is not a basis for R3. If S is a basis for R, then write u = (8, 2, 9) as a linear combination of the vectors in S. (Use s1, S2, and S3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.)

Determine whether S is a basis for R3 S = {(4, 2, 3), (0, 2, 3), (0, 0, 3)} O S is a basis for R3. O S is not a basis for R3. If S is a basis for R, then write u = (8, 2, 9) as a linear combination of the vectors in S. (Use s1, S2, and S3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 7EQ

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