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Is the quadratic form A = 1 positive definite, negative definite, positive semi-definite, negative semi-definite, or indefinite? (Hint: the matrix is not symmetric, so the theorems by using either the leading principal minors or the eigenvalues do not apply. Write down the explicit form of the quadratic form, then plug in some special values for .)

Is the quadratic form A = 1 positive definite, negative definite, positive semi-definite, negative semi-definite, or indefinite? (Hint: the matrix is not symmetric, so the theorems by using either the leading principal minors or the eigenvalues do not apply. Write down the explicit form of the quadratic form, then plug in some special values for .)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Is the quadratic form A = | positive definite, negative definite, positive semi-definite, negative semi-definite, or indefinite? (Hint: the matrix is not symmetric, so the theorems by using either the leading principal minors or the eigenvalues do not apply. Write down the explicit form of the quadratic form, then plug in some special values for .)
Transcribed Image Text:Is the quadratic form A = | positive definite, negative definite, positive semi-definite, negative semi-definite, or indefinite? (Hint: the matrix is not symmetric, so the theorems by using either the leading principal minors or the eigenvalues do not apply. Write down the explicit form of the quadratic form, then plug in some special values for .)
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