1.1 -2.36 5.5 20 30 50 A = and C = 44.9 12.8 -20 -30 -50 (2.1A – 2.3C)T

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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The image provides matrices \( A \) and \( C \), and demonstrates the expression \((2.1A - 2.3C)^T\).

### Matrices:
- **Matrix \( A \):**
  \[
  \begin{bmatrix}
  1.1 & -2.36 & 5.5 \\
  44.9 & 0 & 12.8
  \end{bmatrix}
  \]
  \( A \) is a 2x3 matrix.

- **Matrix \( C \):**
  \[
  \begin{bmatrix}
  20 & 30 & 50 \\
  -20 & -30 & -50
  \end{bmatrix}
  \]
  \( C \) is also a 2x3 matrix.

### Expression:
- **Expression:** \((2.1A - 2.3C)^T\)

This expression involves scaling matrices \( A \) and \( C \) by 2.1 and 2.3, respectively, subtracting them, and then taking the transpose.

### Diagram:
- There is a large bracket surrounding six empty cells, which likely represents the resulting matrix after computation, indicating 6 slots for values corresponding to a 3x2 matrix.
  
- Arrows pointing right and down suggest directions for operations or the movement of data within the process of the calculation or the transformation from the original matrices to the resulting transposed form.
Transcribed Image Text:The image provides matrices \( A \) and \( C \), and demonstrates the expression \((2.1A - 2.3C)^T\). ### Matrices: - **Matrix \( A \):** \[ \begin{bmatrix} 1.1 & -2.36 & 5.5 \\ 44.9 & 0 & 12.8 \end{bmatrix} \] \( A \) is a 2x3 matrix. - **Matrix \( C \):** \[ \begin{bmatrix} 20 & 30 & 50 \\ -20 & -30 & -50 \end{bmatrix} \] \( C \) is also a 2x3 matrix. ### Expression: - **Expression:** \((2.1A - 2.3C)^T\) This expression involves scaling matrices \( A \) and \( C \) by 2.1 and 2.3, respectively, subtracting them, and then taking the transpose. ### Diagram: - There is a large bracket surrounding six empty cells, which likely represents the resulting matrix after computation, indicating 6 slots for values corresponding to a 3x2 matrix. - Arrows pointing right and down suggest directions for operations or the movement of data within the process of the calculation or the transformation from the original matrices to the resulting transposed form.
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