Math 220 - February 10, 1999

Discussion

Assignment for Friday, February 12

  1. Invert the matrix

    (
    {1}/{SQRT{2}} {1}/{SQRT{2}}
    -{1}/{SQRT{2}} {1}/{SQRT{2}}
    ) .

  2. Invert the matrices

    A = (
    1 1
    0 1
    ) and B = (
    0 1
    -1 0
    ) .

  3. Invert the matrices

    A = (
    cos t - sin t
    sin t cos t
    ) and B = (
    cos t sin t
    sin t - cos t
    ) .

  4. Solve the 3 \times 3 system of linear equations represented by

    U x = b

    when the column b is arbitrary and U is the matrix

    (
    0 0 1
    0 1 0
    1 0 0
    ) .


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