.רון 11 12 ~*<] Use the quadratic form (x₁ x2) (021 022) (x₂) and prove the "if and only if" proof (only for the) the “sign” of the quadratic form in part (b). For example, if you found in part (b) that q = x'Yx > 0 then use (X₁ X2) (021 (a11 a2₂2) (x₂) to do the proof for a 2 × 2 symmetric matrix to be p.d (i.e. "If the coefficients in matrix A have the values [blah, blah], then the matrix A is p.d" and "If we know the matrix A is p.d, then we know that the coefficients in matrix A have the values [blah, blah]).
.רון 11 12 ~*<] Use the quadratic form (x₁ x2) (021 022) (x₂) and prove the "if and only if" proof (only for the) the “sign” of the quadratic form in part (b). For example, if you found in part (b) that q = x'Yx > 0 then use (X₁ X2) (021 (a11 a2₂2) (x₂) to do the proof for a 2 × 2 symmetric matrix to be p.d (i.e. "If the coefficients in matrix A have the values [blah, blah], then the matrix A is p.d" and "If we know the matrix A is p.d, then we know that the coefficients in matrix A have the values [blah, blah]).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![.רון
11
12
~*<] Use the quadratic form (x₁ x2) (021 022) (x₂) and prove the "if and only if" proof (only for the)
the “sign” of the quadratic form in part (b). For example, if you found in part (b) that q = x'Yx > 0 then use
(X₁ X2) (021
(a11
a2₂2) (x₂) to do the proof for a 2 × 2 symmetric matrix to be p.d (i.e. "If the coefficients in
matrix A have the values [blah, blah], then the matrix A is p.d" and "If we know the matrix A is p.d, then we
know that the coefficients in matrix A have the values [blah, blah]).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc93dd3a-e660-4464-bc8c-e382a2c34aae%2Fc5144587-c234-4121-af1c-383218ed3ab3%2Fyoxxe9j_processed.png&w=3840&q=75)
Transcribed Image Text:.רון
11
12
~*<] Use the quadratic form (x₁ x2) (021 022) (x₂) and prove the "if and only if" proof (only for the)
the “sign” of the quadratic form in part (b). For example, if you found in part (b) that q = x'Yx > 0 then use
(X₁ X2) (021
(a11
a2₂2) (x₂) to do the proof for a 2 × 2 symmetric matrix to be p.d (i.e. "If the coefficients in
matrix A have the values [blah, blah], then the matrix A is p.d" and "If we know the matrix A is p.d, then we
know that the coefficients in matrix A have the values [blah, blah]).
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