Consider the transformation T(1, 2, 3) = (2x1 - x2 + x3, x2 + x3,0). (a) Form the standard matrix A of the above transformation. A = b C e f ghi a d (b) Use the matrix in (a) to calculate the image T(x) of the vector x = (2, 1, -3). T(x) = (j, k, l).
Consider the transformation T(1, 2, 3) = (2x1 - x2 + x3, x2 + x3,0). (a) Form the standard matrix A of the above transformation. A = b C e f ghi a d (b) Use the matrix in (a) to calculate the image T(x) of the vector x = (2, 1, -3). T(x) = (j, k, l).
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:Consider the transformation
T(1, 2, 3) = (2x1 - x2 + x3, x2 + x3,0).
(a) Form the standard matrix A of the above transformation.
A =
a
b
C
d e f
ghi
(b) Use the matrix in (a) to calculate the image T(x) of the vector x = (2, 1, -3).
T(x) = (j,k,l).
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