A linear transformation T : R2 → R2 first reflects points through the vertical axis (y-axis) and then reflects points through the line x = y. The standard matrix of T is:

Question

A linear transformation T : R2 → R2 first reflects points through the vertical axis (y-axis) and then reflects points through the line x = y. The standard matrix of T is:

TuteeHUB · Accepted Answer

$\left[ {\begin{array}{*{20}{c}} 1&0\ 0&1 \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} 0&{ - 1}\ 1&0 \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - 1}&0\ 0&{ - 1} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} 0&1\ { - 1}&0 \end{array}} \right]$

1.	A linear transformation T : R2 → R2 first reflects points through the vertical axis (y-axis) and then reflects points through the line x = y. The standard matrix of T is:
A.	\(\left[ {\begin{array}{*{20}{c}} 0&{ - 1}\\ 1&0 \end{array}} \right]\)
B.	\(\left[ {\begin{array}{*{20}{c}} { - 1}&0\\ 0&{ - 1} \end{array}} \right]\)
C.	\(\left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&0 \end{array}} \right]\)
D.	\(\left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\)

A linear transformation T : R2 → R2 first reflects points through the vertical axis (y-axis) and then reflects points through the line x = y. The standard matrix of T is:

Discussion

No Comment Found

Related MCQs

Reply to Comment