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(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
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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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'.
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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