Prove the Generalized Triangle Inequality: if a1, a2, . . . , a_n ∈ R then |a1 + a2 + · · · + a_n | ≤ |a1 | + |a2 | + · · · + |a_n |.(Hint: Use the Principle of Mathematical Induction) shareutagut (9404+20095 0:00 puno puc & fut coupam a fou populivy to foughs ago 4 to 1 (1)·|ªv| + ··· + |²v| + |³D| 5.(Hint: Use the Principle of Mathematical Induction)(3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an ER then la₁ + a₂ + +

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Prove the Generalized Triangle Inequality: if a1, a2, . . . , a_n ∈ R then |a1 + a2 + · · · + a_n | ≤ |a1 | + |a2 | + · · · + |a_n |

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 74EQ

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Question

Prove the Generalized Triangle Inequality: if a1, a2, . . . , a_n ∈ R then |a1 + a2 + · · · + a_n | ≤ |a1 | + |a2 | + · · · + |a_n |. (Hint: Use the Principle of Mathematical Induction)

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utagut (9404+20095 0:00 puno puc & fut coupam a fou populivy to foughs ago 4 to 1 (1)
·|ªv| + ··· + |²v| + |³D| 5.
(Hint: Use the Principle of Mathematical Induction)
(3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an ER then la₁ + a₂ + +

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