Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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7. Let u be a unit vector in Rn and define H = I - 2uu. Show that: (a) H is symmetric. (b) H is orthogonal. (c) H-¹ = H. (d) Describe the geometric meaning of the linear operator on R" defined by H. (Hint: Com- pute Hu and Hv for any v that is orthogonal to u.)
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Transcribed Image Text:7. Let u be a unit vector in Rn and define H = I - 2uu. Show that: (a) H is symmetric. (b) H is orthogonal. (c) H-¹ = H. (d) Describe the geometric meaning of the linear operator on R" defined by H. (Hint: Com- pute Hu and Hv for any v that is orthogonal to u.)
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