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2. Use abbreviated index notation to prove or disprove the following statements involving arbitrary scalar and vector u. a. b. V. (ou) = OV ·u+u. Vo V. (puu): = ou · Vu+uV. (ou)

2. Use abbreviated index notation to prove or disprove the following statements involving arbitrary scalar and vector u. a. b. V. (ou) = OV ·u+u. Vo V. (puu): = ou · Vu+uV. (ou)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 33EQ
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2. Use abbreviated index notation to prove or disprove the following statements involving arbitrary scalar and vector u. a. b. C. A・n+n·A0 = (no) · A (ηφ) · Δη+ ηΔ · ηφ = (nnφ) · Δ [Vu+ (Vu)¹] : [Vu+ (Vu)¹] = 2 [Vu+ (Vu)¹] : Vu
Transcribed Image Text:2. Use abbreviated index notation to prove or disprove the following statements involving arbitrary scalar and vector u. a. b. C. A・n+n·A0 = (no) · A (ηφ) · Δη+ ηΔ · ηφ = (nnφ) · Δ [Vu+ (Vu)¹] : [Vu+ (Vu)¹] = 2 [Vu+ (Vu)¹] : Vu
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