Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint. w = 6x2 - 3y2 - 3z2 + 12xy - 12xz + 24yz; x² + y² + z² = 1 The constrained maximum of 9 occurs at two sets of coordinates. The set of coordinates with the smaller x value is (x, y, z) = | and the set of coordinates with the larger x value is (x, y, z) = The constrained minimum of -18 occurs when (x, y, z) = |

Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint. w = 6x2 - 3y2 - 3z2 + 12xy - 12xz + 24yz; x² + y² + z² = 1 The constrained maximum of 9 occurs at two sets of coordinates. The set of coordinates with the smaller x value is (x, y, z) = | and the set of coordinates with the larger x value is (x, y, z) = The constrained minimum of -18 occurs when (x, y, z) = |

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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