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anonymous

  • 5 years ago

Suppose that A is nxn. Show that ||Ax|| = ||A^Tx|| if and only if AA^T = A^TA. Cite any theorems or definitions used. A^T represents A transpose.

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  1. anonymous
    • 5 years ago
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    ||Ax|| means the length or magnitude of Ax?

  2. anonymous
    • 5 years ago
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    Yup

  3. anonymous
    • 5 years ago
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    And the if and only if means that we have to prove both ways

  4. anonymous
    • 5 years ago
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    Yep. what's x?

  5. anonymous
    • 5 years ago
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    just a variable

  6. anonymous
    • 5 years ago
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    Okay. I'll try and see what I can do.

  7. anonymous
    • 5 years ago
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    I don't think I an around there. Maybe not now.

  8. anonymous
    • 5 years ago
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    If I ever got an idea, I would post it here.

  9. anonymous
    • 5 years ago
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    okay thanks for the help tho ... youve already taken linear algebra?

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spraguer (Moderator)
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