Let [1 5 -2 -7 A = 0 1 +1 2 an d b: h 0 2 18 h + 2 2h +90 (Substitute "h=86,58,88") 1. Can we write "b" as a linear combination of the columns of A?.Explain.? 2. Whether the given matrix A has a non-trivial solution? Explain. 3. Whether matrix A gives linearly dependent solution? if yes, then write the solution in parametric vector form. II

Let [1 5 -2 -7 A = 0 1 +1 2 an d b: h 0 2 18 h + 2 2h +90 (Substitute "h=86,58,88") 1. Can we write "b" as a linear combination of the columns of A?.Explain.? 2. Whether the given matrix A has a non-trivial solution? Explain. 3. Whether matrix A gives linearly dependent solution? if yes, then write the solution in parametric vector form. II

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 42EQ

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Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Write the third column of the matrix as a linear combination of the first two columns if possible. [102422751]
11. Find two nonzero matrices and such that.

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