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categoryرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
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5-8-8
Let A=-8
5-8 and v1 Verify that 13 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A.
-8-8 5
The number 13 is an eigenvalue of A with eigenvector
(Type an exact answer, using radicals as needed.)
The vector v1 is an eigenvector of A with eigenvalue 11
(Type an exact answer, using radicals as needed.)
Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below.
(Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
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