- #1
KyleS4562
- 18
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1.
Question:
Which of the following linear transformations T from |R^3 to |R^3 are invertible? Find The inverse if it exists.
a. Reflection about a plane
b. Orthogonal projection onto a plane
c. Scaling by a factor of 5
d. Rotation about an axis
Well I know only a, c, and d are invertible but I do not know how to go about finding their inverses. Only i have assumed so far it involves some vector <x,y,z> about some arbitrary thing such as in part a, a plane through the origin with an arbitrary normal <a,b,c> but I am not even sure about that.
Question:
Which of the following linear transformations T from |R^3 to |R^3 are invertible? Find The inverse if it exists.
a. Reflection about a plane
b. Orthogonal projection onto a plane
c. Scaling by a factor of 5
d. Rotation about an axis
Homework Equations
The Attempt at a Solution
Well I know only a, c, and d are invertible but I do not know how to go about finding their inverses. Only i have assumed so far it involves some vector <x,y,z> about some arbitrary thing such as in part a, a plane through the origin with an arbitrary normal <a,b,c> but I am not even sure about that.
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