Asked by HELP
The matrix M =
[−3/5 4/5]
[4/5 3/5]
defines an isometry of the xy-plane.
(a)What special properties do the column vectors of this matrix have?
(b)Verify that the point (2, 4) remains stationary when M is applied to it.
(c)What is the significance of the stationary point (2, 4)? What does it tell you about the possible isometries that M could be? Do other points invite examination?
(d)Show that MM is the 2×2 identity matrix. What does this suggest about the geometric transformation that M represents? Confirm your suspicions.
[−3/5 4/5]
[4/5 3/5]
defines an isometry of the xy-plane.
(a)What special properties do the column vectors of this matrix have?
(b)Verify that the point (2, 4) remains stationary when M is applied to it.
(c)What is the significance of the stationary point (2, 4)? What does it tell you about the possible isometries that M could be? Do other points invite examination?
(d)Show that MM is the 2×2 identity matrix. What does this suggest about the geometric transformation that M represents? Confirm your suspicions.
Answers
There are no human answers yet.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.