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Find the inverse of the following matrix: Line 1, 000, line 2, 200, line 3, 2130, line 4, 1214 I 24 0 0 0I I-12 12 0 0I （1\24） I-12 -4 8 0I I 3 -5 -2 6I
When finding the inverse matrix of a matrix with elementary row transformation, that is to say, change the matrix (a, e) into the form of (E, b) by row transformation, then B is equal to the inverse of A. here (a, e) = 1 000 1 000 1 2 000 1 0 02 1 3 000 1 01 2 1 4 000 1 the fourth row subtracts the second row, the second row subtracts the first row, and the third row subtracts the third row
Finding the inverse matrix of matrix A = 1-10012-12
(A,E)=
1 -1 0 1 0 0
0 1 1 0 1 0
2 -1 2 0 0 1
r3-2r1
1 -1 0 1 0 0
0 1 1 0 1 0
0 1 2 -2 0 1
r3-r2
1 -1 0 1 0 0
0 1 1 0 1 0
0 0 1 -2 -1 1
r2-r3,r1+r2
1 0 0 3 2 -1
0 1 0 2 2 -1
0 0 1 -2 -1 1
A^-1 =
3 2 -1
2 2 -1
-2 -1 1
If it is correct, multiply it with a to see if it is equal to E
Use the program to calculate the results of two row three column matrix and three row four column matrix and output them
int a[2][3],b[3][4],c[2][4];
int i,j,k,sum;
for (i=0;i
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