6. Suppose the augmented matrices below correspond to either a system of linear equa-tions in 2 variables (x, y) or system of linear equations in 3 variables (x, y,z). Thesematrices may or may not be in RREF. Youyou need to in order to determine the solutions.NOT need to put them into RREF unlessWhat are the solutions to the system? If there are solutions, please write your answeras (x, y) or (x, y,z). If there are infinitely many solutions, please write your point interms of one variable (you may choose the variable).1 00 1 -70 02(a)1-61 0 00 1 0-40 0 19(b)91 0(c)0 1-40 01 0 -4(d)0 1 -31 5 70 0 00 0 0(e)

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6. Suppose the augmented matrices below correspond to either a system of linear equa- tions in 2 variables (x,y) or system of linear equations in 3 variables (x, y, z). These matrices may or may not be in RREF. You do NOT need to put them into RREF unless you need to in order to determine the solutions. What are the solutions to the system? If there are solutions, please write your answer as (x, y) or (x, y,z). If there are infinitely many solutions, please write your point in terms of one variable (you may choose the variable). 1 0 0 1 -7 (a) 0 0 1 0 -6 1 0 0 0 1 0-4 0 0 1 9. (b) 9. 1 0 (c) 0 1-4 0 0

6. Suppose the augmented matrices below correspond to either a system of linear equa- tions in 2 variables (x,y) or system of linear equations in 3 variables (x, y, z). These matrices may or may not be in RREF. You do NOT need to put them into RREF unless you need to in order to determine the solutions. What are the solutions to the system? If there are solutions, please write your answer as (x, y) or (x, y,z). If there are infinitely many solutions, please write your point in terms of one variable (you may choose the variable). 1 0 0 1 -7 (a) 0 0 1 0 -6 1 0 0 0 1 0-4 0 0 1 9. (b) 9. 1 0 (c) 0 1-4 0 0

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

6. Suppose the augmented matrices below correspond to either a system of linear equa-
tions in 2 variables (x, y) or system of linear equations in 3 variables (x, y,z). These
matrices may or may not be in RREF. You
you need to in order to determine the solutions.
NOT need to put them into RREF unless
What are the solutions to the system? If there are solutions, please write your answer
as (x, y) or (x, y,z). If there are infinitely many solutions, please write your point in
terms of one variable (you may choose the variable).
1 0
0 1 -7
0 0
2
(a)
1
-6
1 0 0
0 1 0-4
0 0 1
9
(b)
9
1 0
(c)
0 1
-4
0 0
1 0 -4
(d)
0 1 -3
1 5 7
0 0 0
0 0 0
(e)

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