Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Q3, please show work and show work in simplest way possible. Thanks.

3.
The operator T : R³ → R³ is defined by T(x1, x2, x3) = (w1, W2, W3), where
W₁ = x13x2+2x3;
Which of the following is correct.
(a) T is not one to one.
W2x2x3; W3 = x3.
(b) T is one to one but the standard matrix for T-1 does not exist.
(c) T is one to one and its standard matrix for T−¹ is
(d) T is one to one and its standard matrix for T-1 is
(e) None of these
1
-3
-5
0
1
1
0
0
1
1
3
2
0 1
-1
00
1
a
b cd
e
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Transcribed Image Text:3. The operator T : R³ → R³ is defined by T(x1, x2, x3) = (w1, W2, W3), where W₁ = x13x2+2x3; Which of the following is correct. (a) T is not one to one. W2x2x3; W3 = x3. (b) T is one to one but the standard matrix for T-1 does not exist. (c) T is one to one and its standard matrix for T−¹ is (d) T is one to one and its standard matrix for T-1 is (e) None of these 1 -3 -5 0 1 1 0 0 1 1 3 2 0 1 -1 00 1 a b cd e
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