You solve it much the same way that you solve a simple algebraic equation. The basic rule is that you can perform a manipulation on the left hand side of the equaiotn as long as you perform the same manipulation on the right hand side. The main thing to be aware of is that matrix mulitplication is generally not commutative (i.e. A*B is not equal to B*A). This means there is a distinction between premultiplication and postmultiplication.

If you premultiply the first matrix on the left hand side by it's inverse you get the identity matrix, which is the matrix equivalent of 1. That leaves you, in effect, with only X on the left. So you must also premultiply the matrix on the right hand side by the same matrix (i.e. the inverse of the first matrix on the left hand side). The result is your solution.

M

MikeArmstrong

1-Visitor

You solve it much the same way that you solve a simple algebraic equation. The basic rule is that you can perform a manipulation on the left hand side of the equaiotn as long as you perform the same manipulation on the right hand side.

I am being stupid here???

It doesn't have to be multiplication does it. Couldn't the left hand side of the equation be divided by the left hand side matrix to leave X and then do the same on the right hand said?

Mike

R

RichardJ

19-Tanzanite

How do you divide one matrix by another?

L

lvl107

Author

20-Turquoise

Thank to all who replied.

Best regards,

Loi.

L

lvl107

Author

20-Turquoise

Hello Everyone again,

I still have a related question:

Matrix and Solving 2.PNG

solve,X

Thanks in advance for the time and help, again.

Best regards,

Loi Le.

1_Matrix-Number-and-Solving-Equation5-mcd.zip

A

AlanStevens

19-Tanzanite

Loi Le wrote:
Hello Everyone again,
I still have a related question:
solve,X
Thanks in advance for the time and help, again.
Best regards,
Loi Le.

This is, in effect, trying to find four unknowns with three equations!

Alan

L

lvl107

Author

20-Turquoise

I think I am a new with "matrix multiplication". As Richard said above : "matrix multiplication is generally not commutative". I have forgot that. But I still have a query : "Could the following equation be solved ?" :