1. Assume that each matrix represents a map h: R R with respect to the...
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1. Assume that each matrix represents a map h: R" → R" with respect to the standard bases. In each case, (i) state m and n (ii) find R(h) (range space of h) and rank(h) (iii) find (h) (null space of h) and nullity (h), and (iv) state whether the map is onto and whether it is one-to-one. (b) 0 1 2 -2 co 34 -1 2] 1. Assume that each matrix represents a map h: R" → R" with respect to the standard bases. In each case, (i) state m and n (ii) find R(h) (range space of h) and rank(h) (iii) find (h) (null space of h) and nullity (h), and (iv) state whether the map is onto and whether it is one-to-one. (b) 0 1 2 -2 co 34 -1 2]
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