Question: Write down a basis for and dimension of the linear function spaces (a) L(R3, R) (b) L(R2, R2) (c) L(Rm, Rn) (d) L(P(3), R) (e)

Write down a basis for and dimension of the linear function spaces
(a) L(R3, R)
(b) L(R2, R2)
(c) L(Rm, Rn)
(d) L(P(3), R)
(e) L(P(2), R2)
(f) L(P(2), P(2))
Here P(n) is the space of polynomials of degree ≤ n.

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