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a. b. Consider VC with the dot product and the subspace E = span {(1, 0, 1, 1), (i, 0,-1, i)), ² = -1. The dimension of the orthogonal complement E¹ equals Select one: None of the others are correct. 1. 3. 2. 4X Let V = R² be equipped with the inner product (,) whose associated norm equals ||x|| := √(x₁ (x₁ + 2x₂)² + x², x = (x₁, x₂). If x = (1, 1), y = (-1, 1), then (x, y) equals Select one: 1. 3. 2.X 4.

a. b. Consider VC with the dot product and the subspace E = span {(1, 0, 1, 1), (i, 0,-1, i)), ² = -1. The dimension of the orthogonal complement E¹ equals Select one: None of the others are correct. 1. 3. 2. 4X Let V = R² be equipped with the inner product (,) whose associated norm equals ||x|| := √(x₁ (x₁ + 2x₂)² + x², x = (x₁, x₂). If x = (1, 1), y = (-1, 1), then (x, y) equals Select one: 1. 3. 2.X 4.

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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a. b. Consider VC with the dot product and the subspace E = span {(1, 0, 1, 1), (i, 0,-1, i)},i² = -1. The dimension of the orthogonal complement E¹ equals Select one: None of the others are correct. 1. 3. 2. 4X Let V = R² be equipped with the inner product (,) whose associated norm equals ||x|| = √(x₁ √(x₁ + 2x₂)² + x², x = (x₁, x₂). If x = (1, 1), y = (-1, 1), then (x, y) equals Select one: 1. 3. 2.X 4.
Transcribed Image Text:a. b. Consider VC with the dot product and the subspace E = span {(1, 0, 1, 1), (i, 0,-1, i)},i² = -1. The dimension of the orthogonal complement E¹ equals Select one: None of the others are correct. 1. 3. 2. 4X Let V = R² be equipped with the inner product (,) whose associated norm equals ||x|| = √(x₁ √(x₁ + 2x₂)² + x², x = (x₁, x₂). If x = (1, 1), y = (-1, 1), then (x, y) equals Select one: 1. 3. 2.X 4.
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