Answer 1, Authority 100%
In general, see here , for example.
And so – everything is simple. So, there is a source system
artificially expand vectors (x, y) and (p, q) to the matrices shown:
As we see, the equations themselves have not changed, and the addition of (0 1) and (B d) led to the identity, so that we did not add anything new (no new roots, nor new conditions on the roots).
Next, since the determinant of the work of the matrices is equal to the product of the determinants, as well as simply finding the distributor of an extended matrix, which is just
X , we find that
Where exactly do you get
x as the ratio of two determinants.
Y all the same, only an extended matrix has the kind of
Answer 2, Authority 100%
- by the property of the determinant DET (AB) = DET (A) DET (B)
- Det ([x, 0] [y, 1]) = x * 1-y * 0 = x
- dx = d1 = & gt; x = d1 / d
The author translates the column vector (x, y) into the matrix to use the property of the determinant.