Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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'.
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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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