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Math Help - Matrices

  1. #1
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    Matrices

    You are a secret agent who has been given these three matrices:

    A
    [-1 4 -2 0]
    [3 3 1 -4]
    [0 5 2 -1]
    B
    [1 2 5]
    [-3 4 0]
    [2 3 -4]
    [-1 2 2]
    C
    [-2]
    [4]
    [3]
    You are told to go to your drop site over the next four days for further instructions.


    1.
    a. DAY 1: You are told to multiply the three matrices together in order (A x B x C) to get a fourth matrix D. What is the fourth matrix?
    b. DAY 2: You are told to multiply your fourth matrix by the scalar 6 to get a fifth matrix E. What is the fifth matrix? c. DAY 3: You are told to add the fifth matrix to a matrix whose elements are all "2"s to get a sixth matrix F. What is the sixth matrix? d. DAY 4: You are told the password for your next assignment is the element f3,1. What is your password?

    If anyone could answer those or help, that would be great. These are practice problems and questions that I need to know how to do before I can do the homework that is due. Thanks in advance for any help.

    Kasey
    Last edited by flippin4u; October 17th 2007 at 09:04 AM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by flippin4u View Post
    You are a secret agent who has been given these three matrices:

    You are told to go to your drop site over the next four days for further instructions.

    1.
    a. DAY 1: You are told to multiply the three matrices together in order (A x B x C) to get a fourth matrix D. What is the fourth matrix?
    b. DAY 2: You are told to multiply your fourth matrix by the scalar 6 to get a fifth matrix E. What is the fifth matrix? c. DAY 3: You are told to add the fifth matrix to a matrix whose elements are all "2"s to get a sixth matrix F. What is the sixth matrix? d. DAY 4: You are told the password for your next assignment is the element f3,1. What is your password?

    If anyone could answer those or help, that would be great. These are practice problems and questions that I need to know how to do before I can do the homework that is due. Thanks in advance for any help.

    Kasey
    Let's start with a simpler question. Can you multiply these?
    \left [ \begin{matrix} 5 & 1 & 0 \\ 2 & -2 & 1 \\ -6 & 3 & 2 \end{matrix} \right ] \cdot \left [ \begin{matrix} -1 & 3 \\ 2 & 0 \\ 1 & -4 \end{matrix} \right ]

    -Dan
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