Consider the vectors v = [1,2,4,6] and w = [2,-1,2, -2]: (a) Decide whether the vectors are perpendicular. (b) Compute a vector that is parallel to v but has length equal to 5. (c) Decide whether the vectors are linearly independent. (d) Find two vectors t and z such that t, z, v, w are linearly independent.

Consider the vectors v = [1,2,4,6] and w = [2,-1,2, -2]: (a) Decide whether the vectors are perpendicular. (b) Compute a vector that is parallel to v but has length equal to 5. (c) Decide whether the vectors are linearly independent. (d) Find two vectors t and z such that t, z, v, w are linearly independent.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.4: Linear Independence And Linear Dependence

Problem 6P

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