Let E= (e1,e2,e3} be the standard basis for R° and B= (b 1,b2,b3} be basis for vector spaces V, and Let T:R3 → V be a linear transformation with the property that T(x1,X2,X3) = (x2 - X3)b1+(x1+ x3)b, +(x2- x1)b3 The matrix for T relative to Band E = 1 1 -1 0 0 1 -1 1 0 a. 0 1 1 0 -1 -1 1 0 - b. 1 1 -1 1 2 -1 -1 1 - 1 -1 C. -1 0 1 -1 1 0 1 d. -1 1 0

Let E= (e1,e2,e3} be the standard basis for R° and B= (b 1,b2,b3} be basis for vector spaces V, and Let T:R3 → V be a linear transformation with the property that T(x1,X2,X3) = (x2 - X3)b1+(x1+ x3)b, +(x2- x1)b3 The matrix for T relative to Band E = 1 1 -1 0 0 1 -1 1 0 a. 0 1 1 0 -1 -1 1 0 - b. 1 1 -1 1 2 -1 -1 1 - 1 -1 C. -1 0 1 -1 1 0 1 d. -1 1 0

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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Question

Let E= (e1,e2,e3} be the standard basis for R° and B= (b 1,b2,b3} be
basis for vector spaces V, and Let T:R3 → V be a linear transformation
with the property that
T(x1,X2,X3) = (x2 - X3)b1+(x1+ x3)b, +(x2- x1)b3
The matrix for T relative to Band E =
1 1 -1
0 0 1
-1 1 0
a.
0 1
1 0 -1
-1 1 0
-
b.
1
1
-1 1
2
-1 -1 1
- 1
-1
C.
-1
0 1 -1
1 0 1
d.
-1 1 0

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