The transformation M is given by the following matrix 10 31 The transformation N is given by the following matrix 30 13 What is the transformation MN? Compute and enter only the element in the first row and first column
The transformation M is given by the following matrix 10 31 The transformation N is given by the following matrix 30 13 What is the transformation MN? Compute and enter only the element in the first row and first column
Algebra and Trigonometry (6th Edition)
6th Edition
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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Question
![**Question 4**
The transformation **M** is given by the following matrix:
\[
\begin{bmatrix}
1 & 0 \\
3 & 1 \\
\end{bmatrix}
\]
The transformation **N** is given by the following matrix:
\[
\begin{bmatrix}
3 & 0 \\
1 & 3 \\
\end{bmatrix}
\]
What is the transformation **MN**? Compute and enter only the element in the first row and first column.
**Explanation:**
To find the transformation MN, we perform matrix multiplication of M and N.
Matrix M:
\[
\begin{bmatrix}
1 & 0 \\
3 & 1 \\
\end{bmatrix}
\]
Matrix N:
\[
\begin{bmatrix}
3 & 0 \\
1 & 3 \\
\end{bmatrix}
\]
Compute the element in the first row and first column of the resulting matrix MN:
Multiply the first row of M by the first column of N:
\[
(1 * 3) + (0 * 1) = 3
\]
The element in the first row and first column of MN is **3**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8ef3851-b223-4be3-ac39-739e48c0c7a3%2F518be8fe-7a17-4d7c-b94f-e5fb40c76020%2Ffduixdr_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 4**
The transformation **M** is given by the following matrix:
\[
\begin{bmatrix}
1 & 0 \\
3 & 1 \\
\end{bmatrix}
\]
The transformation **N** is given by the following matrix:
\[
\begin{bmatrix}
3 & 0 \\
1 & 3 \\
\end{bmatrix}
\]
What is the transformation **MN**? Compute and enter only the element in the first row and first column.
**Explanation:**
To find the transformation MN, we perform matrix multiplication of M and N.
Matrix M:
\[
\begin{bmatrix}
1 & 0 \\
3 & 1 \\
\end{bmatrix}
\]
Matrix N:
\[
\begin{bmatrix}
3 & 0 \\
1 & 3 \\
\end{bmatrix}
\]
Compute the element in the first row and first column of the resulting matrix MN:
Multiply the first row of M by the first column of N:
\[
(1 * 3) + (0 * 1) = 3
\]
The element in the first row and first column of MN is **3**.
Expert Solution
Step 1
The given transformations,
and
We have to find the transformation of .
Step by step
Solved in 2 steps
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