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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![The image shows a matrix labeled \([E]\) followed by the task of multiplying the matrix by 3 to generate a new matrix, \(3[E]\).
The original matrix \([E]\) is a 4x5 matrix given by:
\[
[E] = \begin{bmatrix}
-1 & -2 & -6 & 2 \\
-5 & -7 & 3 & -3 \\
-8 & -10 & 8 & 7 \\
-4 & 0 & 1 & 5
\end{bmatrix}
\]
Below this matrix, the template for the resulting matrix \(3[E]\) is outlined, with blank entries that suggest each element of the original matrix should be multiplied by 3 to fill in these spaces. The new matrix will also be a 4x5 matrix.
**Steps to Calculate \(3[E]\):**
1. Multiply each element of \([E]\) by 3.
2. Place the resulting values into the corresponding positions in the \(3[E]\) matrix.
For instance, the first element of \([E]\), which is \(-1\), becomes \(-3\) in \(3[E]\) after multiplication. Repeat this process for each element in the matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F723d4455-88a3-4468-800e-ec0ca31b017d%2F32a81c2a-f1e6-45a1-990e-9564da6d7aa9%2Fvawjb_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows a matrix labeled \([E]\) followed by the task of multiplying the matrix by 3 to generate a new matrix, \(3[E]\).
The original matrix \([E]\) is a 4x5 matrix given by:
\[
[E] = \begin{bmatrix}
-1 & -2 & -6 & 2 \\
-5 & -7 & 3 & -3 \\
-8 & -10 & 8 & 7 \\
-4 & 0 & 1 & 5
\end{bmatrix}
\]
Below this matrix, the template for the resulting matrix \(3[E]\) is outlined, with blank entries that suggest each element of the original matrix should be multiplied by 3 to fill in these spaces. The new matrix will also be a 4x5 matrix.
**Steps to Calculate \(3[E]\):**
1. Multiply each element of \([E]\) by 3.
2. Place the resulting values into the corresponding positions in the \(3[E]\) matrix.
For instance, the first element of \([E]\), which is \(-1\), becomes \(-3\) in \(3[E]\) after multiplication. Repeat this process for each element in the matrix.
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