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    ** Please see the attachment for complete questions (1 and 2) **

    1. Find the Boolean Product of matrices A and B.

    2. Given matrix A, compute:
    (a) A^-1 (A-inverse)
    (b) (A^-1)^3

    3. Solve the following systems of equations.
    x1 + x2 = 0
    -x1 + x2 + x3 = -1
    -1x2 + x3 = 2

    4. (a) Define the function f: R --> R by f(x) = x^3 + 4.
    Briefly explain why f is a 1-1 (one-to-one) function. No proof necessary, just an explanation in some detail.

    (b) Is the function g: R --> Z defined by g(n) = ceiling(n/2) a one to one function? Explain.

    (c) Briefly explain what f^-1 means in general and then find f^-1 for the function f in part a.

    5. Expand (A + B)(A - B). Use the procedures of basic matrix laws.

    © BrainMass Inc. brainmass.com December 24, 2021, 9:45 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/finding-boolean-product-matrices-410017

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 9:45 pm ad1c9bdddf>
    https://brainmass.com/math/linear-algebra/finding-boolean-product-matrices-410017

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