Which of the following statements are correct for rotation matrix?
1)The transpose of a rotation matrix is NOT a rotation matrix.
2)The transpose of a rotation matrix is also a rotation matrix.
3)The row vectors of a rotation matrix are mutually orthogonal.
4)The row vectors of a rotation matrix are all unit vectors.
5)The inverse of a rotation matrix is the same as the transpose of the rotation matrix
WHAT I THINK.
A) INCORRECT
[FONT="]B. The transpose of a rotation matrix is also a rotation matrix. [/FONT]
[FONT=Helvetica Neue, Helvetica, Arial, sans-serif]Correct[/FONT]
[FONT="]C. The row vectors of a rotation matrix are mutually orthogonal. [/FONT]
[FONT="] Correct[/FONT]
[FONT="]D. The row vectors of a rotation matrix are all unit vectors. [/FONT]
[FONT=Helvetica Neue, Helvetica, Arial, sans-serif]Correct[/FONT]
[FONT="]E. The inverse of a rotation matrix is the same as the transpose of the rotation matrix. [/FONT]
[FONT="]Correct
Can the experts at matrices, and math on this forum please correct me if I am wrong. Through my online research and reading I personally think these are the correct answers? Give me your thoughts please and let me know if I was right or wrong. [/FONT]
1)The transpose of a rotation matrix is NOT a rotation matrix.
2)The transpose of a rotation matrix is also a rotation matrix.
3)The row vectors of a rotation matrix are mutually orthogonal.
4)The row vectors of a rotation matrix are all unit vectors.
5)The inverse of a rotation matrix is the same as the transpose of the rotation matrix
WHAT I THINK.
A) INCORRECT
[FONT="]B. The transpose of a rotation matrix is also a rotation matrix. [/FONT]
[FONT=Helvetica Neue, Helvetica, Arial, sans-serif]Correct[/FONT]
[FONT="]C. The row vectors of a rotation matrix are mutually orthogonal. [/FONT]
[FONT="] Correct[/FONT]
[FONT="]D. The row vectors of a rotation matrix are all unit vectors. [/FONT]
[FONT=Helvetica Neue, Helvetica, Arial, sans-serif]Correct[/FONT]
[FONT="]E. The inverse of a rotation matrix is the same as the transpose of the rotation matrix. [/FONT]
[FONT="]Correct
Can the experts at matrices, and math on this forum please correct me if I am wrong. Through my online research and reading I personally think these are the correct answers? Give me your thoughts please and let me know if I was right or wrong. [/FONT]