Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Matrix Consistency Problem**
*Determine the value(s) of \( h \) such that the matrix is the augmented matrix of a consistent linear system.*
\[
\begin{pmatrix}
1 & h & 2 \\
-5 & 15 & -12
\end{pmatrix}
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The matrix is the augmented matrix of a consistent linear system if \( h \neq \boxed{} \).
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
B. The matrix is the augmented matrix of a consistent linear system if \( h = \boxed{} \).
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
C. The matrix is the augmented matrix of a consistent linear system for every value of \( h \).
D. The matrix is not the augmented matrix of a consistent linear system for any value of \( h \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F474861d3-aaf1-4b4c-afe2-e250091335e4%2Fad9fdbd2-ce90-4b8c-aafa-c6ab4bf08fda%2Fxz63lqs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Matrix Consistency Problem**
*Determine the value(s) of \( h \) such that the matrix is the augmented matrix of a consistent linear system.*
\[
\begin{pmatrix}
1 & h & 2 \\
-5 & 15 & -12
\end{pmatrix}
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The matrix is the augmented matrix of a consistent linear system if \( h \neq \boxed{} \).
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
B. The matrix is the augmented matrix of a consistent linear system if \( h = \boxed{} \).
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
C. The matrix is the augmented matrix of a consistent linear system for every value of \( h \).
D. The matrix is not the augmented matrix of a consistent linear system for any value of \( h \).
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