Show that the following matrices are inverse of each other

1 2

4 6

-3 1

2 -1/2

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- Dec 19th 2008, 10:36 AMwaterboyinverse matrices
Show that the following matrices are inverse of each other

1 2

4 6

-3 1

2 -1/2 - Dec 19th 2008, 10:41 AMmasters
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.

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

Multiply them and see what happens. - Dec 19th 2008, 10:43 AMPlato
Given $\displaystyle X = \left[ {\begin{array}{rr}

1 & 2 \\

4 & 6 \\

\end{array} } \right]\,\& \,Y = \left[ {\begin{array}{rr}

{ - 3} & 1 \\

2 & { - 1/2} \\ \end{array} } \right]$

You must show that $\displaystyle XY = YX = \left[ {\begin{array}{cc}

1 & 0 \\

0 & 1 \\ \end{array} } \right]$