If Q = I- auu' where Qis an orthogonal matrix, a > 0, and u e R"x1 real vector, and I is n x n identity matrix then O a. a. Qu = -2u O b. Qu = u %3D Oc. Qu = 2u %3D O d. Qu = -u

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If Q = I- auu" where Qis an orthogonal matrix, a > 0, and u E Rx1
real vector, and I is n x n identity matrix then
O a. Qu = -2u
O b. Qu = u
O c. Qu = 2u
O d. Qu = -u
Transcribed Image Text:If Q = I- auu" where Qis an orthogonal matrix, a > 0, and u E Rx1 real vector, and I is n x n identity matrix then O a. Qu = -2u O b. Qu = u O c. Qu = 2u O d. Qu = -u
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