Reducing the matrix by the gaussian method

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Reference no: EM132395036

Let Aix + bi = 0, i = 1, 2, the equations of two linear varieties be. Show that the intersection variety equations are obtained by reducing the matrix by the Gaussian method

1922_matrix.jpg

If the system is incompatible, the two varieties are not cut and

a) if rang1210_matrix1.jpg= (max(rang A1, rang A2), the varieties are parallel

b) If rang 1210_matrix1.jpg > rang Ai, i = 1, 2 the varieties cross.

Reference no: EM132395036

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