# How do you find 4X given X=[(4,1), (-2,6)] and Y=[(0,-3)] and Z=[(-1,3), (0,-2)]?

##### 1 Answer
Jul 4, 2017

Multiply $4$ with all the elements in $X$.

#### Explanation:

$4 X = 4 \left[\begin{matrix}4 & 1 \\ - 2 & 6\end{matrix}\right] = \left[\begin{matrix}\textcolor{red}{4} \cdot 4 & \textcolor{red}{4} \cdot 1 \\ \textcolor{red}{4} \cdot - 2 & \textcolor{red}{4} \cdot 6\end{matrix}\right] = \left[\begin{matrix}16 & 4 \\ - 8 & 24\end{matrix}\right]$
The text passage contains a mathematical question asking how to find 4X given a matrix X, and it provides an answer explaining the process and the result.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# How do you find 4X given X=[(4,1), (-2,6)] and Y=[(0,-3)] and Z=[(-1,3), (0,-2)]?

##### 1 Answer
Jul 4, 2017

Multiply $4$ with all the elements in $X$.

#### Explanation:

$4 X = 4 \left[\begin{matrix}4 & 1 \\ - 2 & 6\end{matrix}\right] = \left[\begin{matrix}\textcolor{red}{4} \cdot 4 & \textcolor{red}{4} \cdot 1 \\ \textcolor{red}{4} \cdot - 2 & \textcolor{red}{4} \cdot 6\end{matrix}\right] = \left[\begin{matrix}16 & 4 \\ - 8 & 24\end{matrix}\right]$
user
The text passage contains a mathematical question asking how to find 4X given a matrix X, and it provides an answer explaining the process and the result.

TYPE: SINGLE_QUESTION_WITH_ANSWER