Multiply a 2x2 square matrix by a rotation matrix.
Author: shiroeExecutions: 47
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Enter each element of A.
Enter θ as well.
Output each element of Q and P, as well as each element of QA and QAP.
The rest is for reference only.
Enter θ as well.
Output each element of Q and P, as well as each element of QA and QAP.
The rest is for reference only.
| Q11 | Q12 |
| Q21 | Q22 |
| P11 | P12 |
| P21 | P22 |
| QA11 | (Diagonal elements) |
| QA12 | (Non-diagonal elements) |
| QA21 | (Non-diagonal elements) |
| QA22 | (Diagonal elements) |
| QAP11 | (Diagonal elements) |
| QAP12 | (Non-diagonal elements) |
| QAP21 | (Non-diagonal elements) |
| QAP22 | (Diagonal elements) |
| Reference: Adopted values for θ | |
| Reference: cosθ | |
| Reference: sinθ | |
| Reference: tanθ | |
| Reference: (θ/2π)*360 | (Rounding down to the nearest whole number) |
The number of digits displayed in the output field can be changed.
Default display setting: 6 digits. The number of digits can be changed. Complex number calculation mode.
Default display setting: 6 digits. The number of digits can be changed. Complex number calculation mode.
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We will multiply the 2x2 square matrix A by the inverse of the rotation matrix P, Q, from the right to compute the matrix QA,
and then multiply the rotation matrix P by QA from the right to compute QAP.
The elements of P are as follows (the numbers to the right of Q represent row and column indices):
P11 = cosθ P12 = -sinθ
P21 = sinθ P22 = cosθ
(where θ is in radians).