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[12] 1. (a) Find an equation of the plane parallel to the lines and and passing through the point P.
(b) Find the distance between the plane and the line .
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[12] 2. Find all values of k such that the system
has no solution. Is there any value of k for which there are infinitely many solutions?
[12] 3. Solve by Gauss-Jordan elimination
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[12] 4. Suppose that A is an invertible matrix such that , where I is the identity matrix. Show that .
[12] 5. (a) Find the inverse of the matrix .
(b) Use to solve .