Question: (a) Show that for any scalars a1, 1, . . . , am, n this map h. Rn Rm is a homomorphism. (b) Show that

(a) Show that for any scalars a1, 1, . . . , am, n this map h. Rn †’ Rm is a homomorphism.

(b) Show that for each i, the i-th derivative operator di/dxi is a linear transformation of Pn. Conclude that for any scalars ck, . . . , c0 this map is a linear transformation of that space.

dk dxk 1.1 f + dxk-l dx

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