MANE 3351 - Manufacturing Engineering Analysis
Homework Assignment 5
Assigned: November 8, 2021
Due: November 16, 2021
Homework 5 covers matrix operations by hand. Please work all problems by hand; copying output from Python will not help you on the final exam. Please not that all questions may not have mathematical solutions. If the solutions does not exist or is not defined, state this in your answer. You will use the following matrices in this assignment.
\[
\mathbf{A}=\begin{bmatrix}1.0 &5.0 \\ 2.0&10.0\end{bmatrix}\nonumber
\]
\[
\mathbf{B}=\begin{bmatrix}23.2 & 4.4 &89.4\\93.4&9.3&9.1\\34.2&5.4&8.2\end{bmatrix}\nonumber
\]
\[
\mathbf{C}=\begin{bmatrix}9.4&2.0&8.2\\5.2&7.5&2.1\end{bmatrix}\nonumber
\]
\[
\mathbf{D}=\begin{bmatrix}2.1&5.3&4.2\\6.0&9.34&7.2\end{bmatrix}\nonumber
\]
Questions
- Find \(|\mathbf{A}|\) (determinant)
- Find \(|\mathbf{B}|\) (determinant)
- Find \(|\mathbf{C}|\) (determinant)
- Find \(\mathbf{A}\mathbf{B}\) and \(\mathbf{B}\mathbf{A}\)
- Find \(\mathbf{AC}\) and \(\mathbf{CA}\)
- Find \(\mathbf{B}\mathbf{C}\) and \(\mathbf{C}\mathbf{B}\)
- Find \(\mathbf{C}+\mathbf{A}\), \(\mathbf{C}+\mathbf{B}\), and \(\mathbf{C}+\mathbf{D}\)
- Find \(\mathbf{C}-\mathbf{A}\), \(\mathbf{C}-\mathbf{B}\), and \(\mathbf{C}-\mathbf{D}\)
Please upload your submission as a single PDF document to the Homework 5 Drop Box before November 16, 2021.