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Math Help - inverse matrices

  1. #1
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    inverse matrices

    Show that the following matrices are inverse of each other

    1 2
    4 6


    -3 1
    2 -1/2
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by waterboy View Post
    Show that the following matrices are inverse of each other

    1 2
    4 6


    -3 1
    2 -1/2
    One must assume that you know how to multiply matrices. If a matrix is the inverse of another matrix then their product will be the identity matrix.

    AB=BA=\left[\begin{array}{cc}1 & 0 \\ 0 & 1 \end {array}\right]

    Multiply them and see what happens.
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  3. #3
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    Given X = \left[ {\begin{array}{rr}<br />
   1 & 2  \\<br />
   4 & 6  \\<br /> <br />
 \end{array} } \right]\,\& \,Y = \left[ {\begin{array}{rr}<br />
   { - 3} & 1  \\<br />
   2 & { - 1/2}  \\ \end{array} } \right]

    You must show that XY = YX = \left[ {\begin{array}{cc}<br />
   1 & 0  \\<br />
   0 & 1  \\ \end{array} } \right]
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