Among the statements below check the correct ones. Select one or more: O a. The

Question

Among the statements below check the correct ones. Select one or more: O a. The matrix representing a linear function L : R/ ? R5 has size (5,7) cross out b. The matrix representing a linear function L : R'R has size (7, 5) Oc. The matrix representing a linear function L : R7 R5 is square shaped cross out with 7 rows and 7 columns. cross out d. For a functionf R3R2, 'x is inf-1(2,0) means that f(x) (2, 0) cross out e. For a functionf : R ? R2, X is inf-? (2,0)' means thatf(x)-x. cross out Of. For a functionf R3R2, if x is inf-1(2, 0)', then x is in R3 RR, if 'x is inf (2,0)', then x is in R cross out g. For a function f O h. The linear transformation L RR represented by the matrix cross out 4 has domain R and target cross out O i. The linear transformation L : R2 R" represented by the matrix 4 has domain R3 and target R O j. The linear transformationL: RR represented by the matrix cross out 2 4 transforms the vector (1,-1) into the vector (3,-3,-1)

Explanation / Answer

a.True as a 7-vector is maaped to a 5-vector.

b.False.

c.False.

d.True. x is in R3 and f-1 exists which implies that f is one-to –one so that f(x) = (2,0).

e.False.

f.True.The domain of f-1 is R3.

g.False.

h.True. A 3x2 matrix multiplied by a 2-cetor will create a 3-vector.

i.False.

j.True.

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