Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 20 12 h -5-37 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrix is the augmented matrix of a consistent linear system if h = (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‡ (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) OC. The matrix is the augmented matrix of a consistent linear system for every

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Determine the value(s) of \( h \) such that the matrix is the augmented matrix of a consistent linear system.

\[
\begin{bmatrix}
20 & 12 & h \\
-5 & -3 & 7
\end{bmatrix}
\]

---

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 \( h = \_\_\_\_ \).

*(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 \( h \ne \_\_\_\_ \).

*(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 \( h \).
Transcribed Image Text:### Determine the value(s) of \( h \) such that the matrix is the augmented matrix of a consistent linear system. \[ \begin{bmatrix} 20 & 12 & h \\ -5 & -3 & 7 \end{bmatrix} \] --- 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 \( h = \_\_\_\_ \). *(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 \( h \ne \_\_\_\_ \). *(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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