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# Find a 4x4 orthogonal matrix with at least 5 non-zero entries. | # Find a 4x4 orthogonal matrix with at least 5 non-zero entries. | ||
# Can you find a 3x3 orthogonal matrix with no zeroes? [http://helmut.knaust.info/class/201310_5311/Notebooks/Assignment03.nb Notebook] | # Can you find a 3x3 orthogonal matrix with no zeroes? [http://helmut.knaust.info/class/201310_5311/Notebooks/Assignment03.nb Notebook] | ||
| − | # Find the | + | # Find the vertical edges of a grayscale image (of your choice). Hint: For horizontal edges this is done in Notebook 031. |
# Pick a small grayscale image (your choice) and use matrix transposition and multiplication with suitable matrices to produce the following six images: [[image:FN.jpg|500px]] | # Pick a small grayscale image (your choice) and use matrix transposition and multiplication with suitable matrices to produce the following six images: [[image:FN.jpg|500px]] | ||
# Problem 3.8 | # Problem 3.8 | ||
# Problem 3.16 | # Problem 3.16 | ||
Revision as of 12:40, 11 June 2013
- Let \(A=\begin{pmatrix}1&2&3\\4&5&6\\7&8&10\end{pmatrix}\). Find a matrix X such that \(X\cdot A=\begin{pmatrix}7&8&10\\4&5&6\\1&2&3\end{pmatrix}\). What do you get if you compute \(A\cdot X\)?
- Find a 4x4 orthogonal matrix with at least 5 non-zero entries.
- Can you find a 3x3 orthogonal matrix with no zeroes? Notebook
- Find the vertical edges of a grayscale image (of your choice). Hint: For horizontal edges this is done in Notebook 031.
- Pick a small grayscale image (your choice) and use matrix transposition and multiplication with suitable matrices to produce the following six images:
- Problem 3.8
- Problem 3.16
