Question: Please answer the following questions 3. [10] For which a the system rty+z = 2 r + 2y + 2z = 3 x+a(a - 1)z

Please answer the following questions

3. [10] For which a the system rty+z = 2 r + 2y + 2z = 3 x+a(a - 1)z = a+1 . has infinitely many solutions? . has no solutions? . has the unique solution? 4. [10] The plane a contains the line I with parametric equation C=l+t y = 2 - 3t 3=3-1 and passes through the point P = (1, 2, 1). Find the distance dist (Q, a) from the point Q = (1, 1, 1) to the plane a

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