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Unformatted text preview: u + v-w =-( u-v + w ) Answer: (a),(b),(d) 5. The Null Space of a 2 2 matrix can be represented geometrically in R 2 as one of the following: (a) a single point at the origin (b) a straight line through the origin (c) the whole plane ( R 2 ) Let A be a 2 2 matrix such that A 2 = A . Which of the items a,b,c above are possible (may be more than one) for the Null Space of a matrix A with A 2 = A ? Answer: (a),(b),(c) or each of the items a,b,c possible for the matrix A , give an example. (Each matrix needs to satisfy the equation A 2 = A .) If no such matrix exists, write none for that item. Answer: (a) (b) (c) p 1 0 0 1 P p 0 0 0 1 P p 0 0 0 0 P 2...
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