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The linear transformation T(x) = Ax scales a vector x = in R? by 200% in the horizontal direction and 500% in the vertical direction, then rotates the vector 90° clockwise. Determine the standard matrix A of this transformation. 2 1 -1 5 0 5 0 2 2 -5 (A) A= (B) A= (C) A= (D) A= -2 0 -5 0

The linear transformation T(x) = Ax scales a vector x = in R? by 200% in the horizontal direction and 500% in the vertical direction, then rotates the vector 90° clockwise. Determine the standard matrix A of this transformation. 2 1 -1 5 0 5 0 2 2 -5 (A) A= (B) A= (C) A= (D) A= -2 0 -5 0

Advanced Engineering Mathematics
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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The linear transformation T(x) = Ax scales a vector x = in R? by 200% in the horizontal direction and 500% in the vertical direction, then rotates the vector 90° clockwise. Determine the standard matrix A of this transformation. (A) A= (1) A- [ 3] (C) A= [ 3] 2 1 0 5 0 2 2 -5 (D) A= 5 -1 5 2 0 2
Transcribed Image Text:The linear transformation T(x) = Ax scales a vector x = in R? by 200% in the horizontal direction and 500% in the vertical direction, then rotates the vector 90° clockwise. Determine the standard matrix A of this transformation. (A) A= (1) A- [ 3] (C) A= [ 3] 2 1 0 5 0 2 2 -5 (D) A= 5 -1 5 2 0 2
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