EXERCISE 5.2.6. Prove the Multinomial Theorem: that (11+1₂+ + Im)" = Σ k₁+k₂+ +km=n (Hint: Choose arbitrary values for k₁, k2,...,km such that k₁ +k₂ + and evaluate the coefficient of r2... equation.] m n (1₁. 12.,km) II. K2.... 1≤r≤m .... +km = n, that comes from the product on the left-hand side of the

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v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a linear combination of v1 and v2.

2.1. Find the flaw in Example 2.35.

Prove the property a × b = -b xa of this theorem. Let a = (a₁, a2, a3) and b = (b₁, b₂, b3). Then axb= = = (−¹)| () (-1) = -b x a.

Find M(x, 2). М(t, у) — 2*у + 5у — 1