Question
Suppose T:ℝ4→ℝ4 is the transformation induced by the following matrix A. Determine whether T is one-to-one...
Suppose T:ℝ4→ℝ4 is the transformation induced by the following matrix A. Determine whether T is one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under T. If T is not onto, show this by providing a vector in ℝ4 that is not in the range of T.
A =
2
−2
2
−2
2
0
0
−10
2
−1
4
−9
2
−1
3
−8
T is one-to-one
T is onto
Suppose T:ℝ4→ℝ4 is the transformation induced by the following matrix A. Determine whether T is one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under T. If T is not onto, show this by providing a vector in ℝ4 that is not in the range of T.
A =
2
−2
2
−2
2
0
0
−10
2
−1
4
−9
2
−1
3
−8
T is one-to-one
T is onto
Homework Answers
Answer #1
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