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anonymous

  • 4 years ago

Can someone help me prove a property of singular matrices?

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  1. anonymous
    • 4 years ago
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  2. anonymous
    • 4 years ago
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    If A and B are matrices, then det(AB) = ?

  3. anonymous
    • 4 years ago
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    the det(A)*det(B)

  4. anonymous
    • 4 years ago
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    So det(A^2) = ?

  5. anonymous
    • 4 years ago
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    det(a)^2

  6. anonymous
    • 4 years ago
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    it is det(A)*det(A)

  7. anonymous
    • 4 years ago
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    Finally, what is det(A^10) ?

  8. anonymous
    • 4 years ago
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    det(a)^10

  9. anonymous
    • 4 years ago
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    So take the determinant of both sides of your equation.

  10. anonymous
    • 4 years ago
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    lol so basically A must equal 0

  11. anonymous
    • 4 years ago
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    No, det(A) = 0. Which is the definition of a singular matrix.

  12. anonymous
    • 4 years ago
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    lol that is what i meant

  13. anonymous
    • 4 years ago
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    Thanks Jemurray

  14. anonymous
    • 4 years ago
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    There u go I gave u a medal :D

  15. anonymous
    • 4 years ago
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    Thank you :)

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