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anonymous

  • 5 years ago

example of find a basis of a subspace of a 2 x 2 matrix

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  1. anonymous
    • 5 years ago
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    Which subspace? The column, row, null, eigen?

  2. anonymous
    • 5 years ago
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    the set of all 2 x 2 diagonal matrices

  3. anonymous
    • 5 years ago
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    I think that all diagonal matrices are produced by linear combination of these matrices: 1) [1 0; 0 0] , 2) [0 1; 0 0] , 3) [0 0; 1 0] , 4) [0 0; 0 1] where the notation is [first row; second row]...

  4. anonymous
    • 5 years ago
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    Sorry... my mistake with the above you can produce all 2x2 matrices.

  5. anonymous
    • 5 years ago
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    for the diagonal ones you only need: 1) [1 0; 0 0] and 4) [0 0; 0 1] ... is that clear?

  6. anonymous
    • 5 years ago
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    I am viewing..

  7. anonymous
    • 5 years ago
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    thank you ... what would the dimension be?

  8. anonymous
    • 5 years ago
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    What is the dimension of the space of all 2x2 matrices?

  9. anonymous
    • 5 years ago
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    I think the answer to my question is 4 and the answer to yours is 2... check out this http://www.solitaryroad.com/c210.html

  10. anonymous
    • 5 years ago
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    I think the answer is 2 also

  11. anonymous
    • 5 years ago
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    you're welcome!!!

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spraguer (Moderator)
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