(a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3 Rewrite this system of equations in the matrix form Cx = y. Write down the entries of x, C, and y explicitly. (b) Consider the function f (x1,x2,x3) = xỉ+3x1x2 – x2x3+x – 4x3 Rewrite f in the matrix form x Ax where A is a symmetric matrix. Write down the entries of x and A explicitly. (c) Calculate C × A'.
(a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3 Rewrite this system of equations in the matrix form Cx = y. Write down the entries of x, C, and y explicitly. (b) Consider the function f (x1,x2,x3) = xỉ+3x1x2 – x2x3+x – 4x3 Rewrite f in the matrix form x Ax where A is a symmetric matrix. Write down the entries of x and A explicitly. (c) Calculate C × A'.
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
Answer only part c
![(a) Consider the system of equations
11х3 — Зх1
yi
-
7x1 – 6x2 – 5x3
y2
-
-
х2 + 2х3 — 2х]
Уз
Rewrite this system of equations in the matrix form Cx = y. Write down the entries of x, C,
and y explicitly.
(b) Consider the function
f (x1,x2,x3) = xí+3x1x2 – x2x3+x3– 4x3
Rewrite f in the matrix form x Ax where A is a symmetric matrix. Write down the entries
of x and A explicitly.
(c) Calculate C × A'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef3462a1-ce6c-43fd-bb7c-01ab8af5aa7e%2Fa3f10d19-8b89-41e6-94d5-16027e174b1d%2F468oinf_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Consider the system of equations
11х3 — Зх1
yi
-
7x1 – 6x2 – 5x3
y2
-
-
х2 + 2х3 — 2х]
Уз
Rewrite this system of equations in the matrix form Cx = y. Write down the entries of x, C,
and y explicitly.
(b) Consider the function
f (x1,x2,x3) = xí+3x1x2 – x2x3+x3– 4x3
Rewrite f in the matrix form x Ax where A is a symmetric matrix. Write down the entries
of x and A explicitly.
(c) Calculate C × A'.
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