In Exercises 7–8, find the vector form of the general solution of the lin- ear system Ax = b, and then use that result to find the vector form of the general solution of Ax = 0.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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question 8 with a and b

b.
х, + 2х, — 3x; + X4 3D
— 2х, + х, + 2х; + Хд 3 —1
-X1 + 3x2
4x1
4
X3 + 2x4 =
- 5x4 = -5
3
-
7x2
-
-
Transcribed Image Text:b. х, + 2х, — 3x; + X4 3D — 2х, + х, + 2х; + Хд 3 —1 -X1 + 3x2 4x1 4 X3 + 2x4 = - 5x4 = -5 3 - 7x2 - -
In Exercises 7–8, find the vector form of the general solution of the lin-
ear system Ax = b, and then use that result to find the vector form
of the general solution of Ax = 0.
7. а. х, — Зх, 3D 1
2х, — бх, 3D 2
b. х, + х, + 2x; %3D
+ x = -2
2х, + х, + 3х; %3
5
X1
|
3
X1 - 2x, + X3 + 2x4 = –1
2х, — 4х, + 2х; + 4x, 3D — 2
—х, + 2х, —
3x1
8. а.
%3D
X3 –
2x4 = 1
бх, + 3x; + бх, —D — 3
Transcribed Image Text:In Exercises 7–8, find the vector form of the general solution of the lin- ear system Ax = b, and then use that result to find the vector form of the general solution of Ax = 0. 7. а. х, — Зх, 3D 1 2х, — бх, 3D 2 b. х, + х, + 2x; %3D + x = -2 2х, + х, + 3х; %3 5 X1 | 3 X1 - 2x, + X3 + 2x4 = –1 2х, — 4х, + 2х; + 4x, 3D — 2 —х, + 2х, — 3x1 8. а. %3D X3 – 2x4 = 1 бх, + 3x; + бх, —D — 3
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