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3. Suppose A is a 2 by 2 matrix such that the image of the unit circle under the linear transformation given by A is: 2.0 1.5 1.0 0.5 0.0- -0.5 -1.0- -1.5- -2.0- -2.0-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 6 4 2 0 -2 -4 o Determine cond₂(A) (the condition number with respect to the 2-norm). 4 6

3. Suppose A is a 2 by 2 matrix such that the image of the unit circle under the linear transformation given by A is: 2.0 1.5 1.0 0.5 0.0- -0.5 -1.0- -1.5- -2.0- -2.0-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 6 4 2 0 -2 -4 o Determine cond₂(A) (the condition number with respect to the 2-norm). 4 6

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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13. Suppose A is a 2 by 2 matrix such that the image of the unit circle under the linear transformation given by A is: 2.0 1.5 1.0 0.5- 0.0 -0.5 -1.0- -1.5- -2.0 -2.0-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 6 Ø 4 2 0 -2 -4 -6 -6 Determine cond2(A) (the condition number with respect to the 2-norm). 2 4 6
Transcribed Image Text:13. Suppose A is a 2 by 2 matrix such that the image of the unit circle under the linear transformation given by A is: 2.0 1.5 1.0 0.5- 0.0 -0.5 -1.0- -1.5- -2.0 -2.0-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 6 Ø 4 2 0 -2 -4 -6 -6 Determine cond2(A) (the condition number with respect to the 2-norm). 2 4 6
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