se the above equation is expressed as Ax = b with x = uations in one matrix form as (Alb)= -10 -10 -10 7 3 -7 21 I2 T3 . Expre

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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Suppose the above equation is expressed as Ax=b with x=(x1 x2 x3)express the cofficicents of the equations in one matrix form as (A|b)

a)
-10x + 7y+3z
−10x + (22 − k)y+2z
−10x
-10x + 7y+(6-k)z
= -7
= −5
=k+2
Suppose the above equation is expresse
Transcribed Image Text:a) -10x + 7y+3z −10x + (22 − k)y+2z −10x -10x + 7y+(6-k)z = -7 = −5 =k+2 Suppose the above equation is expresse
a)
-10x + 7y+3z
−10x + (22 − k)y+2z
−10x
-10x + 7y+(6-k)z
= -7
= −5
=k+2
Suppose the above equation is expresse
Transcribed Image Text:a) -10x + 7y+3z −10x + (22 − k)y+2z −10x -10x + 7y+(6-k)z = -7 = −5 =k+2 Suppose the above equation is expresse
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Follow-up Questions
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Follow-up Question

b) Use row operations on (A|b) by subtracting row 1 from row 2 and row 3 respectively.

c) if the equations have no solution determine the value of k=?

d) if the equations have infinite number of solutions, determine the value of k=?

e) suppose x2=t with t as any real number. Express the infinite solutions for the value of k determined in part d) 

Suppose ₂ = t with t as any real number. Express the infinite solutions for the value of k
determined in part d) as
21
I2
X3
H
t+
Transcribed Image Text:Suppose ₂ = t with t as any real number. Express the infinite solutions for the value of k determined in part d) as 21 I2 X3 H t+
b)
Use row operations on (Ab) by substracting row 1 from row 2 and row 3 respectively. Fill in the
missing entries:
-10
7
3
-7
Transcribed Image Text:b) Use row operations on (Ab) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: -10 7 3 -7
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