11. Let A be a m × n matrix and suppose that for nonzero vectors V₁ and v₂ in Rn we have AT Av₁ = 3v1, AT AV₂ = 6v2, Calculate Av₁ Av₁ and Av₁ Av₂. Show all steps. V₁.V₁ = 1, V₁ V₂ = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
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11.
Let A be a m × n matrix and suppose that for nonzero vectors V₁ and v₂ in
Rn we have
AT Av₁ = 3v1,
AT AV₂ = 6v2,
2
Calculate Av₁· Av₁ and Av₁ Av₂. Show all steps.
V₁ - V₁ = 1,
V₁ V₂ = 0
Transcribed Image Text:11. Let A be a m × n matrix and suppose that for nonzero vectors V₁ and v₂ in Rn we have AT Av₁ = 3v1, AT AV₂ = 6v2, 2 Calculate Av₁· Av₁ and Av₁ Av₂. Show all steps. V₁ - V₁ = 1, V₁ V₂ = 0
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