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Matrix Equations - By Ciaran Levingston

How to use this applet:

To use this applet click the button called next to see the next part of the solution. To input your own values just type in the numbers in the spaces provided in the order specified in the applet and click the next button. If you want to go back to the start at any time click the reset button.

Notes on the maths used in the applet:

This method of solving this type of equation is based on the fact that if two matrices of the same dimensions are equal then the individual components in the corresponding position are equal. We can take advantage of this by manipulating our matrices so that we have two matrices that are equal. Then by equating the corresponding components we can get simultaneous equations that can be solved to get the value of the unknowns. To solve problems with more unknowns the equation must involve matrices, which will give you enough equations so you can find the values of the unknowns using simultaneous equations.