數學,線性代數-矩陣

Matrix of the set of equations is A = | 3 2 - 5 |
| 1 3 2 |
| 1 - 1 1 |
A^T = | 3 1 1 | (Changing rows to columns)
| 2 3 - 1 |
| - 5 2 1 |
Adj A = | 5 3 19 |
| 1 8 -11 |
| - 4 5 7 |
det A = | 0 5 - 8 |
| 0 4 1 |
| 1 - 1 1 |
= 5 + 32 = 37.
So A inverse, A^(-1) = Adj A/det A.
So solution to equations is
A^(-1) | - 73 |
| 83 |
| 10 |
You can do it by yourself. [ 3 x 3 matrix times 3 x 1 matrix becomes a 3 x 1 matrix which will be the answer for x, y and z .]

做cofactor先同做transpose先會唔會有唔同?_?