Homework SourseDetermine if the matrix is orthogonal 0 1 1 0 1squareroot2 1
Solution
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| a) | |||||||||
| A | = | 0 | -1 | Transpose(A) | = | 0 | 1 | ||
| 1 | 1 | -1 | 1 | ||||||
| A.AT | = | 1 | -1 | Which is not Identity matrix | |||||
| -1 | 2 | Hence matrix is not orthogonal | |||||||
| b) | 1/sqrt(2) | = | 0.707107 | ||||||
| A | = | 0.707107 | 0.707107 | Transpose(A) | = | 0.707107 | 0.707107 | ||
| 0.707107 | -0.70711 | 0.707107 | -0.70711 | ||||||
| A.AT | = | 1 | 0 | Which is Identity matrix | |||||
| 0 | 1 | Hence matrix is orthogonal |
![Determine if the matrix is orthogonal. [0 -1 1 0] [1/squareroot2 1/squareroot2 1/squareroot2 -1/squareroot2]SolutionDear Student Thanl you for using Chegg !! a](/WebImages/38/determine-if-the-matrix-is-orthogonal-0-1-1-0-1squareroot2-1-1115770-1761592647-0.webp "Determine if the matrix is orthogonal. [0 -1 1 0] [1/squareroot2 1/squareroot2 1/squareroot2 -1/squareroot2]SolutionDear Student Thanl you for using Chegg !! a")
