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$3. (14 p) (a) Obtain the null space of the matrix below and write out a basis for it. (b) Verify the Rank Theorem in

$3. (14 p) (a) Obtain the null space of the matrix below and write out a basis for it. (b) Verify the Rank Theorem in this exercise. 2 2 1 M = 3 6 15 4 2

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