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Given the basis vectors x1=(1,2,2), x2=(-1,0,2) and x3=(0.01). By following the Gram-Schmidt method or process we can orthogonalize and make the orthogonal vectors a unit normal vector (orthogonal vector of length one). If the orthonormal vectors are named as v1, v2 and v3, you can get v1 and v2 from the Gram- Schmidt process as follows v1 = x1 = (1,2,2) (x2,v1) (v1,v1) v2 = x2 - -439 Vector (v3) ? v1 = (-1,0,2)-(1,2,2)

Given the basis vectors x1=(1,2,2), x2=(-1,0,2) and x3=(0.01). By following the Gram-Schmidt method or process we can orthogonalize and make the orthogonal vectors a unit normal vector (orthogonal vector of length one). If the orthonormal vectors are named as v1, v2 and v3, you can get v1 and v2 from the Gram- Schmidt process as follows v1 = x1 = (1,2,2) (x2,v1) (v1,v1) v2 = x2 - -439 Vector (v3) ? v1 = (-1,0,2)-(1,2,2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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1. Given the basis vectors x1=(1,2,2), x2=(-1,0,2) and x3=(0.01). By following the Gram-Schmidt method or process we can orthogonalize and make the orthogonal vectors a unit normal vector (orthogonal vector of length one). If the orthonormal vectors are named as v1, v2 and v3, you can get v1 and v2 from the Gram- Schmidt process as follows v1 = x1 = (1,2,2) (x2,v1) v2 = x2 - v1 = (-1,0,2)-(1,2,2) (v1,v1) = (633) Vector (v3) ? 2. Find the unit vector of the vector v=(0, 3, 4, 0) ? Note: The unit vector is a vector with a length (magnitude) of one 3. The characteristic vector of the following complex matrix A? 1} i A = 21 4 2
Transcribed Image Text:1. Given the basis vectors x1=(1,2,2), x2=(-1,0,2) and x3=(0.01). By following the Gram-Schmidt method or process we can orthogonalize and make the orthogonal vectors a unit normal vector (orthogonal vector of length one). If the orthonormal vectors are named as v1, v2 and v3, you can get v1 and v2 from the Gram- Schmidt process as follows v1 = x1 = (1,2,2) (x2,v1) v2 = x2 - v1 = (-1,0,2)-(1,2,2) (v1,v1) = (633) Vector (v3) ? 2. Find the unit vector of the vector v=(0, 3, 4, 0) ? Note: The unit vector is a vector with a length (magnitude) of one 3. The characteristic vector of the following complex matrix A? 1} i A = 21 4 2
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