Consider the following linear equations: 7x+6y + 5z = -7 7x + (18k)y + 4z = -5 7x+6y + (9-k)z =k+-3 a) Suppose the above equation is expressed as Ax = b with x = matrix form as (Ab)= 7 7 7 6 5 X1 x3 Express the coefficients of the equations in one -7

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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c. If the equations have no solution, determine the value of ?

d. If the equations have infinite number of solutions, determine the value of ?

Consider the following linear equations:
7x + 6y + 5z
7x + (18k)y + 4z
7x+6y+ (9- k)z
a)
= -7
= -5
=k+-3
matrix form as ( A|b)=
x2
Suppose the above equation is expressed as Ax = b with x =
x3
7
7
7
6
X1
5
Express the coefficients of the equations in one
-7
Transcribed Image Text:Consider the following linear equations: 7x + 6y + 5z 7x + (18k)y + 4z 7x+6y+ (9- k)z a) = -7 = -5 =k+-3 matrix form as ( A|b)= x2 Suppose the above equation is expressed as Ax = b with x = x3 7 7 7 6 X1 5 Express the coefficients of the equations in one -7
b)
Use row operations on (Alb) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries:
7
6
LO
5
-7
Transcribed Image Text:b) Use row operations on (Alb) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: 7 6 LO 5 -7
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