The reduced row-echelon form of the augmented matrices of linear systems are given below. How manysolutions does each system have?(a)10 150 1-70 0 0-2O None of theseO Infinite SolutionsO No solutionsUnique solution(b)10010 1 00 0 10 0 0- 618O No solutionsO Infinite SolutionsO None of theseUnique solution(c)1 00 1-8None of theseOUnique solution吕0F3F1F2000 F4F5F7F8@#$%&*2345679Q wE RW (c)O None of theseO Unique solutionNo solutionsInfinite Solutions(d)10 120 10 0 00 0 010O No solutionsO None of theseO Infinite SolutionsO Unique solution(e)0 1 00 0 1- 119O None of theseO Infinite SolutionsOUnique solutionO No solutionsesc80F1F2F4ES@#$%&*234568QWE

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The reduced row-echelon form of the augmented matrices of linear systems are given below. How mar solutions does each system have? (a) 10 15 0. 01-7 0 0 0 - 2 O None of these O Infinite Solutions O No solutions Unique solution (b) 100 1 0 1 0 0 0 1 0 0 0 - 6 18 O No solutions O Infinite Solutions O None of these O Unique solution (c) 1 0 0 1 -8 None of these Unique solution DOC

The reduced row-echelon form of the augmented matrices of linear systems are given below. How mar solutions does each system have? (a) 10 15 0. 01-7 0 0 0 - 2 O None of these O Infinite Solutions O No solutions Unique solution (b) 100 1 0 1 0 0 0 1 0 0 0 - 6 18 O No solutions O Infinite Solutions O None of these O Unique solution (c) 1 0 0 1 -8 None of these Unique solution DOC

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

The reduced row-echelon form of the augmented matrices of linear systems are given below. How many
solutions does each system have?
(a)
10 15
0 1-7
0 0 0
-2
O None of these
O Infinite Solutions
O No solutions
Unique solution
(b)
100
1
0 1 0
0 0 1
0 0 0
- 6
18
O No solutions
O Infinite Solutions
O None of these
Unique solution
(c)
1 0
0 1
-8
None of these
OUnique solution
吕0
F3
F1
F2
000 F4
F5
F7
F8
@
#
$
%
&
*
2
3
4
5
6
7
9
Q wE R
W

(c)
O None of these
O Unique solution
No solutions
Infinite Solutions
(d)
10 12
0 1
0 0 0
0 0 0
10
O No solutions
O None of these
O Infinite Solutions
O Unique solution
(e)
0 1 0
0 0 1
- 11
9
O None of these
O Infinite Solutions
OUnique solution
O No solutions
esc
80
F1
F2
F4
ES
@
#
$
%
&
*
2
3
4
5
6
8
Q
W
E

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0 01-2 (4 pts) Consider the linear system whose augmented matrix is given by [A b] = 1 -2 0 2 2-4 3-2 (a) Row reduce the augmented matrix to RREF. Indicate each row operation involved. (b) Find the general solution of the system. -1 7
A B (U) (O) D The augmented matrix ear equations which has 1-2 1-3 0 15 2 00 0 0 represents a system of lin- no solution. finitely many solutions. An infinitely many solutions. the unique solution □=□ 2
Assume that the following augmented matrix represents a system of linear equations. -1 -8 2 -1 -2 -20 -8 -1 -1 -14-3 What kind of solution does this system have? (A) infinitely many solutions with 2 arbitrary (free) parameters (B) 3 solutions (C) infinitely many solutions with 1 arbitrary (free) parameter (D) 2 solutions (E) unique solution (F) infinitely many solutions with 4 arbitrary (free) parameters (G) infinitely many solutions with 3 arbitrary (free) parameters (H) no solution A O B O E G H
Row Echelon Form Operation
5 -9 |-57 -2|-12] Consider the matrix . Identify two row operations that could be used to obtain a leading entry of 1 in the first row. Also indicate which operation would be less cumbersome as a first step toward writing the matrix in reduced row-echelon form.
2x + 2y + 2z = −14 4x9y+ 6z = 19 -3x + 2y + 4z = 34 the augmented matrix will have the form: Given the system all a12 a21 a22 a31 a32 a13 a23 a33 a14 | a24 a34
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