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 mathematical representation involving matrices. At the top, there is a matrix labeled \( B \) defined as:
\[
B = \begin{bmatrix} 2 & 0 & -4 \\ 1 & -4 & 4 \end{bmatrix}
\]
Below this matrix, the expression \( 3B^T \) is indicated.
The visual representation suggests an operation is to be performed on matrix \( B \):
- \( B^T \) refers to the transpose of matrix \( B \), which involves swapping its rows and columns.
- \( 3B^T \) indicates that the transposed matrix is then to be multiplied by 3.
Beside this, there is a set of empty brackets organized in two rows and three columns, which suggests the layout for a matrix, probably intended to visually represent the result of the operation \( 3B^T \).
Green arrows beside the matrix indicate a potential flow or movement of elements from the original matrix \( B \) through the transposition and scalar multiplication processes to achieve the final result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d890e9c-fe88-4cd1-bfab-a11ce990423c%2Fe5930109-0fc9-4832-9a73-297080e54dfa%2Flkec1d_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows a mathematical representation involving matrices. At the top, there is a matrix labeled \( B \) defined as:
\[
B = \begin{bmatrix} 2 & 0 & -4 \\ 1 & -4 & 4 \end{bmatrix}
\]
Below this matrix, the expression \( 3B^T \) is indicated.
The visual representation suggests an operation is to be performed on matrix \( B \):
- \( B^T \) refers to the transpose of matrix \( B \), which involves swapping its rows and columns.
- \( 3B^T \) indicates that the transposed matrix is then to be multiplied by 3.
Beside this, there is a set of empty brackets organized in two rows and three columns, which suggests the layout for a matrix, probably intended to visually represent the result of the operation \( 3B^T \).
Green arrows beside the matrix indicate a potential flow or movement of elements from the original matrix \( B \) through the transposition and scalar multiplication processes to achieve the final result.
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