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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![**Matrix Dimensions Exploration**
In this section, we will explore the dimensions of a given matrix.
Consider the matrix \([A]\):
\[
[A] =
\begin{bmatrix}
-5 & 5 & -1 & 10 \\
4 & 3 & 1 & -4
\end{bmatrix}
\]
To determine the size of matrix \([A]\), we need to count the number of rows and columns the matrix has.
The matrix \([A]\) consists of:
- 2 rows
- 4 columns
Thus, the size of \([A]\) is determined as follows:
The size of \([A]\) = \_\_2\_\_ by \_\_4\_\_
This means that matrix \([A]\) is a 2x4 matrix. Each entry in the matrix is denoted by its position \((i, j)\), where \(i\) refers to the row number and \(j\) to the column number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53b99f33-5097-48ca-9202-113ad6b052b9%2F36c5b513-383f-42cb-9b7e-0cd4b4f5c167%2Fb7hgf4k_processed.png&w=3840&q=75)
Transcribed Image Text:**Matrix Dimensions Exploration**
In this section, we will explore the dimensions of a given matrix.
Consider the matrix \([A]\):
\[
[A] =
\begin{bmatrix}
-5 & 5 & -1 & 10 \\
4 & 3 & 1 & -4
\end{bmatrix}
\]
To determine the size of matrix \([A]\), we need to count the number of rows and columns the matrix has.
The matrix \([A]\) consists of:
- 2 rows
- 4 columns
Thus, the size of \([A]\) is determined as follows:
The size of \([A]\) = \_\_2\_\_ by \_\_4\_\_
This means that matrix \([A]\) is a 2x4 matrix. Each entry in the matrix is denoted by its position \((i, j)\), where \(i\) refers to the row number and \(j\) to the column number.
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