For the matrix A = evaluate each side of the following equation and state whether the equation is true or false. - 5 (2 + 3)A = 2A + 3A (2 + 3)A = (Simplify your answers.) 2A + 3A = (Simplify your answers.) State whether the equation (2 + 3)A = 2A +3A is true or false. Choose the correct answer below. O True O False 3. 3. LO

Algebra and Trigonometry (6th Edition)
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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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20. 

**Matrix Equation Evaluation**

For the matrix \( A = \begin{bmatrix} 3 & 3 \\ 5 & -5 \end{bmatrix} \), evaluate each side of the following equation and state whether the equation is true or false:

\[ (2 + 3)A = 2A + 3A \]

---

**Calculations** 

\[ (2 + 3)A = \]

\[
\begin{bmatrix}
\boxed{\phantom{0}} & \boxed{\phantom{0}} \\
\boxed{\phantom{0}} & \boxed{\phantom{0}}
\end{bmatrix}
\]
*(Simplify your answers.)*

\[ 2A + 3A = \]

\[
\begin{bmatrix}
\boxed{\phantom{0}} & \boxed{\phantom{0}} \\
\boxed{\phantom{0}} & \boxed{\phantom{0}}
\end{bmatrix}
\]
*(Simplify your answers.)*

---

State whether the equation \( (2 + 3)A = 2A + 3A \) is true or false. Choose the correct answer below.

- \( \bigcirc \) True
- \( \bigcirc \) False

---
Transcribed Image Text:**Matrix Equation Evaluation** For the matrix \( A = \begin{bmatrix} 3 & 3 \\ 5 & -5 \end{bmatrix} \), evaluate each side of the following equation and state whether the equation is true or false: \[ (2 + 3)A = 2A + 3A \] --- **Calculations** \[ (2 + 3)A = \] \[ \begin{bmatrix} \boxed{\phantom{0}} & \boxed{\phantom{0}} \\ \boxed{\phantom{0}} & \boxed{\phantom{0}} \end{bmatrix} \] *(Simplify your answers.)* \[ 2A + 3A = \] \[ \begin{bmatrix} \boxed{\phantom{0}} & \boxed{\phantom{0}} \\ \boxed{\phantom{0}} & \boxed{\phantom{0}} \end{bmatrix} \] *(Simplify your answers.)* --- State whether the equation \( (2 + 3)A = 2A + 3A \) is true or false. Choose the correct answer below. - \( \bigcirc \) True - \( \bigcirc \) False ---
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