Quiz 10.3 (Diagonalization of real symmetric matrices ) |
Make the following statements as true
or
false. Evaluate your scores and see explanation to see the correct answers. |
Sr.No | Quiz | Options | Correct Answers | Reasoning |
---|---|---|---|---|
1. |
If A is a n
× n real matrix and A
is orthogonally diagonalizable, then A is symmetric. |
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2. |
If A is a real n
× n matrix and
A is orthogonally diagonalizable, then A has n - distinct eigenvalues. |
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3. |
If A is a n × n real symmetric matrix and are such that . |