1.
Let A={X=(x,y,z)T:PX=0 and x2+y2+z2=1}A = \{X = (x, y, z)^T : PX = 0 \text{ and } x^2 + y^2 + z^2 = 1\}, where P=(121234191)P = \begin{pmatrix} 1 & 2 & 1 \\ -2 & 3 & -4 \\ 1 & 9 & -1 \end{pmatrix}. Then the set AA: