Consider the quadratic form Q(r, y, 2) = 1² – 2y + 2 - 3zy- 4zz + 4yz. Which of the following is a Hermitian matrix H such that Q(z, y, z) = (r, y, z)H | y? 1 3 H = 3 -2 4. 1 2 H = 2 None of these is correct. 3/2 21 3/2 2 2. H = 1. 1 13 H = 0. 2 12 3/2 32 2 H =

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the quadratic form
Q(z, y, z) = 1 – 2y +z? - 3ry- 4zz + 4yz.
Which of the following is a Hermitian matrix H such that Q(z, y, z) = (r, y, 2)H
y
1.
Н-
-3
-2
-4
H =
2
3
None of these is correct.
1
3/2
3/2
21
H =
3.2
12
32
Transcribed Image Text:Consider the quadratic form Q(z, y, z) = 1 – 2y +z? - 3ry- 4zz + 4yz. Which of the following is a Hermitian matrix H such that Q(z, y, z) = (r, y, 2)H y 1. Н- -3 -2 -4 H = 2 3 None of these is correct. 1 3/2 3/2 21 H = 3.2 12 32
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