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simquasions

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Using Matrices to Solve Simultaneous Equations?

I was told that you could solve the simultaneous equation;

2x + 3y = 4
6x - 5y = 8

By using matrices.

But how exactly is this done? I know how to multiply matrices, but the diagram I saw:

Doesn't make sense because it's a 2x2 multiplied by a 1x2, and the first column number and the second row number have to be the same. Help!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Using Matrices to Solve Simultaneous Equations?

Hi simquasions;

That picture makes perfect sense. That is 2 X 2  times 2 X 1 . Rows first and then columns. That is the matrix notation for a 2x2 simultaneous set. And yes, you can solve it totally with matrix operations.

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