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Can you explain to me how to solve these matrix equation? These two are throwing me off.

5x - [1.5 -3.6] [0.2 1.3]

[-0.3 2.8] = [-5.6 1.7]

-3y + 2[6 9] [27 -18]

[-12 15] = [30 6]

It looks like the equations have 2x2 matrixes, so x and y are also 2x2 matrices.

For the 1st equation, adding

1.5 -3.6

-0.3 2.8

to both sides gives

1.5+0.2 -3.6+1.3

-0.3-5.6 2.9+1.7

on the right side.

The result of this is

1.7 -2.3

-5.9 4.5.

Since this is 5x, dividing by 5 gives

0.34 -0.46

-1.18 0.9.

This is the matrix solution for x.

For y, multiply the matrix by 2 giving

12 18

-24 30.

Subtracting this from both sides gives

15 -36

42 -9.

Since this is -3y, divide the entire matrix by -3 and get

-5 12

-14 3.

This is the y matrix.

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Comment | Thank you so much on helping me understand how to solve matrcies like those. I really get it now. I made a 100 on my test yesterday. Again, thank you so much. |

Algebra

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