Consider the following linear equations -7x + 4y + 10z = -9 -7x + (23-k)y+9z = -7 =k+12 -7x+4y+ (9- k) z a) Suppose the above equation is expressed as Ax = b with x = coeffieints of the equations in one matrix form as (Ab)= -7 -7 -7 -7 4 4 10 b) Use row operations on (Ab) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: 10 -9 -9 c) If the equations have no solution, determine the value of k= x1 X2 X3 . Express the

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.3: Multiplication Of Matrices
Problem 38E: Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two...
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Consider the following linear equations
-7x + 4y + 10z
= -9
−7x + (23 − k)y +9z
-
= -7
-7x + 4y + (9 — k)z
= k + 12
e)
a)
Suppose the above equation is expressed as Ax= b with x =
coeffieints of the equations in one matrix form as (A|b)=
-7
-7
-7
-7
t+
4
4
b)
Use row operations on (Ab) by substracting row 1 from row 2 and row 3 respectively. Fill in
the missing entries:
10
10
If the equations have no solution, determine the value of k =
-9
x1
X2
X3
Note: only input fractions, e.g. 3/2 or integers.
-9
d)
If the equations have infinite number of solutions, determine the value of k
=
x1
X2
X3
Suppose x2 = t with t as any real number. Express the infinite solutions for the value of k
determined in part d) as
Express the
Transcribed Image Text:Consider the following linear equations -7x + 4y + 10z = -9 −7x + (23 − k)y +9z - = -7 -7x + 4y + (9 — k)z = k + 12 e) a) Suppose the above equation is expressed as Ax= b with x = coeffieints of the equations in one matrix form as (A|b)= -7 -7 -7 -7 t+ 4 4 b) Use row operations on (Ab) by substracting row 1 from row 2 and row 3 respectively. Fill in the missing entries: 10 10 If the equations have no solution, determine the value of k = -9 x1 X2 X3 Note: only input fractions, e.g. 3/2 or integers. -9 d) If the equations have infinite number of solutions, determine the value of k = x1 X2 X3 Suppose x2 = t with t as any real number. Express the infinite solutions for the value of k determined in part d) as Express the
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