1 0 1 -1 1 Let A = 0. B= 4 1 3 %3D 1 0 2 0. 2 1 -1 1 C = 3 1 B= 0 1 -1 %3D [1 0 -2 2 Which one of the following statements is true? (a) Tx = Ax : R’ → R° is one to one; (b) Tx = Bx :R → R° is one to one; (c) Tx = Cx : R° → R° is one to one; (d) Tx = Dx : R° → R° is one to one; (e) Tx = Bx : R → R° is onto. %3D O (a) O (b) O (c) O (d) O (e) O (f) none of the above
1 0 1 -1 1 Let A = 0. B= 4 1 3 %3D 1 0 2 0. 2 1 -1 1 C = 3 1 B= 0 1 -1 %3D [1 0 -2 2 Which one of the following statements is true? (a) Tx = Ax : R’ → R° is one to one; (b) Tx = Bx :R → R° is one to one; (c) Tx = Cx : R° → R° is one to one; (d) Tx = Dx : R° → R° is one to one; (e) Tx = Bx : R → R° is onto. %3D O (a) O (b) O (c) O (d) O (e) O (f) none of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1 0
1
1
-1
Let A =
1
1
4.
1
3.
1
0.
2
0.
0.
0.
1
1
1
-1
1
C =
3
1
1
B =
-1.
1
0.
0.
-2
2
Which one of the following statements is true?
(a) Tx = Ax : R → R° is one to one;
(b) Tx = Bx :R → R° is one to one;
(c) Tx = Cx : R° → R° is one to one;
(d) Tx = Dx : R° → R° is one to one;
(e) Tx = Bx : R³ → R³ is onto.
O (a)
O (b)
O(c)
(d)
O (e)
O (f) none of the above
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