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18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and u3 = (1, 1, -2). Determine whether the set {TA(u), TA(u₂), T₁(₂)) spans R². -619 -61 a. A = b. A=

18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and u3 = (1, 1, -2). Determine whether the set {TA(u), TA(u₂), T₁(₂)) spans R². -619 -61 a. A = b. A=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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18. In each part, let TA: R3-R² be multiplication by A, and let u, = (0, 1, 1) and u₂ = (2,-1, 1) and u₂ = (1, 1,-2). R². Determine whether the set (TA(u,), TA(u), TA(u)) spans -[619] -1²- a. A = b. A =
Transcribed Image Text:18. In each part, let TA: R3-R² be multiplication by A, and let u, = (0, 1, 1) and u₂ = (2,-1, 1) and u₂ = (1, 1,-2). R². Determine whether the set (TA(u,), TA(u), TA(u)) spans -[619] -1²- a. A = b. A =
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