25 12 8. x' = | 6. -18 -5 %3D 6 13
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The image shows a mathematical expression involving matrix multiplication. This is an example of transforming a vector \( \mathbf{x} \) using a matrix. The expression is written in a format commonly used in linear algebra:
\[ \mathbf{x'} = \begin{bmatrix} 25 & 12 & 0 \\ -18 & -5 & 0 \\ 6 & 6 & 13 \end{bmatrix} \mathbf{x} \]
- The matrix is a 3x3 matrix:
- The first row consists of the elements 25, 12, and 0.
- The second row consists of the elements -18, -5, and 0.
- The third row consists of the elements 6, 6, and 13.
- \( \mathbf{x} \) represents a column vector, and \( \mathbf{x'} \) represents the transformed vector after multiplication by the matrix.
This equation can be used to model various transformations in different fields such as physics, computer graphics, and engineering.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5703530b-3b68-48f7-800b-b69d01129e52%2F0c3d9dd5-a8ff-4fa1-9fac-dbbe883868c7%2Fosv73op_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a mathematical expression involving matrix multiplication. This is an example of transforming a vector \( \mathbf{x} \) using a matrix. The expression is written in a format commonly used in linear algebra:
\[ \mathbf{x'} = \begin{bmatrix} 25 & 12 & 0 \\ -18 & -5 & 0 \\ 6 & 6 & 13 \end{bmatrix} \mathbf{x} \]
- The matrix is a 3x3 matrix:
- The first row consists of the elements 25, 12, and 0.
- The second row consists of the elements -18, -5, and 0.
- The third row consists of the elements 6, 6, and 13.
- \( \mathbf{x} \) represents a column vector, and \( \mathbf{x'} \) represents the transformed vector after multiplication by the matrix.
This equation can be used to model various transformations in different fields such as physics, computer graphics, and engineering.
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