Results 1 to 4 of 4

Math Help - Matrices

  1. #1
    Member
    Joined
    Oct 2007
    Posts
    209

    Matrices

    Find  A^2

    a) A=  \begin{bmatrix} 1 & 3 & 5 \\ 2 & 4 & -3 \end{bmatrix}

    b)A=  \begin{bmatrix} 1 & 2 & 3 \end{bmatrix}

    c) A=  \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}

    I don't understand how to calculate the power of a matrix.

    Can you show me step by step on how to do one of them? Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Linnus View Post
    Find  A^2

    a) A=  \begin{bmatrix} 1 & 3 & 5 \\ 2 & 4 & -3 \end{bmatrix}

    b)A=  \begin{bmatrix} 1 & 2 & 3 \end{bmatrix}

    c) A=  \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}

    I don't understand how to calculate the power of a matrix.

    Can you show me step by step on how to do one of them? Thanks
    A^2 = A \, A. I assume you know how to multiply matrices. If you do, you should notice that A^2 is not defined for any of them. A^2 is only defined if A is a square matrix.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2007
    Posts
    209
    I know that  A^2=AA

    I also know that the matrices doesn't "fit" that is why I'm lost on how to solve these matrices.

    Does that mean there is no answer for them?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by Linnus View Post
    I know that  A^2=AA

    Does that mean there is no answer for them?
    correct.

    to multiply two matrices, the number of columns in the first must be equal to the number of rows in the second. if it is the same matrix, this implies the matrix must be square. that is not the case with any of the matrices in your problem
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 25th 2010, 06:34 PM
  2. Total matrices and Commutative matrices in GL(r,Zn)
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: August 16th 2010, 02:11 AM
  3. Matrices Help
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 24th 2009, 09:36 PM
  4. Matrices represented by Symmetric/Skew Symmetric Matrices
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: October 25th 2008, 05:06 PM
  5. matrices
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 13th 2007, 02:36 PM

Search Tags


/mathhelpforum @mathhelpforum