a = ⎝⎛a00⎠⎞ , b = ⎝⎛xyz⎠⎞ , A = ⎝⎛a00xyz⎠⎞ , AT = (ax0y0z)
Gramsche Determinante = det(AT • A) = det( (ax0y0z) • ⎝⎛a00xyz⎠⎞ )
= det( (a2axaxx2+y2+z2) = a2 • (y2 + z2)
⎝⎛a00⎠⎞ x ⎝⎛xyz⎠⎞ = ⎝⎛0−azay⎠⎞
|| ⎝⎛0−azay⎠⎞|| 2 = ( √ (a2z2 + a2y2 )2 = a2z2 + a2y2 = a2 • (y2 + z2)
Gruß Wolfgang