Find the maximum and minimum values of Q(x) subject to the constraint z7 + x3 = 1. (You (c) must use linear algebra for this part; no credit for using other methods, such as Lagrange multipliers from multivariable calculus.) Eminir nou

Find the maximum and minimum values of Q(x) subject to the constraint z7 + x3 = 1. (You (c) must use linear algebra for this part; no credit for using other methods, such as Lagrange multipliers from multivariable calculus.) Eminir nou

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.5: Applications

Problem 30EQ

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

only C part please

8
DUE IN GRADESCOPE AT 3:30 P.M. ON THURSDAY, 6 MAY
7.
Let Q : R? → R be the quadratic form defined by Q(x) = 6x? – 12x1¤2 + x3.
(a)
Write down the symmetric matrix associated with Q.
-6
A
(b)
Classify Q as positive definite, negative definite, or indefinite.
Rz +Ri
R2 +C,
- S
Ri
VE Rz
So ,
Q is ui definate.
Find the maximum and minimum values of Q(x) subject to the constraint æ? +x = 1. (You
must use linear algebra for this part; no credit for using other methods, such as Lagrange multipliers
-39
manimum s130
(c)
from multivariable calculus.)
minimum
Let
det [6-k -6
-6
SO
Let
to A s-3
be
eigen vector af A
an
(-3)
-by, tYy,"
or,
똑 [3]
(G1)• 24-72,9:
-39]
minimums
is eigen volue of A with -3

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