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    Matrices with Matlab

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    Given A = [ 2 0 4 B = [ 3 5 2
    1 4 -1 0 8 4
    3 1 2] 1 0 9]

    C = [ 1 D = [ 1 4
    2 -2 3]
    3]

    Respond to the following:
    Q21. What is the transpose of A?
    Q22. Solve for the determinant of A.
    Q23. Calculate the inverse of D.
    Q24. What is the product of A x C?
    Q25. What is the rank of B?
    Q26. Compute the sum of A + B.
    Q27. What is the product of 3 x D?
    Q28. Calculate the product of C x D.
    Q29. Write a set of equations that describe the matrix equation Ax X = C.
    Q30. Show that A+B = B+A
    Q31. Show that A x B is not equal to B x A.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:43 am ad1c9bdddf
    https://brainmass.com/math/matrices/matrices-with-matlab-515462

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    Solution Preview

    The following is the output from a MATLAB file used to respond.

    initialize matrix
    A = [2 0 4; 1 4 -1; 3 1 2];
    B = [3 5 2; 0 8 4; 1 0 9];
    C = [1; 2; 3];
    D = [1 4; -2 3];
    transpose of A
    Q21 = A'

    Q21 =

    2 1 3
    0 4 1
    4 -1 2

    Determinant of A
    Q22 = det(A)

    Q22 =

    -26

    Inverse of D
    Q23 = inv(D)

    Q23 =

    0.2727 -0.3636
    0.1818 0.0909

    Product of A x C
    Q24 = A*C

    Q24 =

    14
    6
    11

    Rank of B
    Q25 = rank(B)

    Q25 =

    3

    Sum of A+B
    Q26 = A+B

    Q26 =

    5 5 6
    1 ...

    Solution Summary

    Performing matrix algebra such as adding and multiplication of matrices.

    $2.19