Let's think about the following 3-D simultaneous equations.
（The variable is x1, x2, x3)
5x1 + 3x2 + x3 = 3
4x1 + 5x2 + 2x3 = 4
x1 + 3x2 + 6x3 = 6
When I transcribe it in a matrix.
It is extremely easy when written by a matrix
A ×x = b
The simultaneous equations can be written by the following matrix equation
Ax = b
Do multiplication a inverse-matrixA-1 in both sides.
A-1( A x ) = A-1b
(A-1A ) x = A-1b
From A-1A = E
E x = A-1b
x = A-1b
Solution x calculates in this.
The matrix and the vector area are secured for an arbitrary cell, and the value is input.
Select the inverse-matrixA-1 erea in an arbitrary position. .
And set the Function MINVERSE (matrix A) .
Note) When you set the function to two or more areas The OK button is not pushed.
Enter is ended by the key input while pushing the Ctrl Shift key.
The inverse-matrix calculated in this.
Set a solution(x) earea in an arbitrary position.
When you set the Function MMULT( Reverse-matrix(A-1), Vector(b))
Solution ( x ) However, it is round.
the solution of the simultaneous equations was obtained. It is easy
Obtained solution (x) is used. Ax Calculation, and the value agreement with b.
Result of checking answer and vector b are corresponding.
It is happy, and happy.