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I.Use MATLAB to determine whether w is in the span of the given vectors V₁, V2, ... Vn . If your answer is yes, write w as a linear combination of the vectors V₁, V2, ... Vn and enter the coefficients as entries of the matrix as instructed: 1.) v₁ = (1, 2, 3, 4), v₂ = (–1, 0, 1, 3), v3 = (0, 5, -6, 8) and w = = (3, -6, 17, 11). (Note you need enter the vectors in MATLAB as columns of a matrix EXM1.) If you decided that w = c₁V₁ + C₂V₂ + ... + CnVn type EXA1=[C₁ C₂ Cn] Example: if w = 2v₁ 3v2 +5v3 enter EX1 = = [2 - 3 5]

I.Use MATLAB to determine whether w is in the span of the given vectors V₁, V2, ... Vn . If your answer is yes, write w as a linear combination of the vectors V₁, V2, ... Vn and enter the coefficients as entries of the matrix as instructed: 1.) v₁ = (1, 2, 3, 4), v₂ = (–1, 0, 1, 3), v3 = (0, 5, -6, 8) and w = = (3, -6, 17, 11). (Note you need enter the vectors in MATLAB as columns of a matrix EXM1.) If you decided that w = c₁V₁ + C₂V₂ + ... + CnVn type EXA1=[C₁ C₂ Cn] Example: if w = 2v₁ 3v2 +5v3 enter EX1 = = [2 - 3 5]

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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### Instructions: **I. Use MATLAB to determine whether \( \mathbf{w} \) is in the span of the given vectors \( \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n \).** - If your answer is yes, write \( \mathbf{w} \) as a linear combination of the vectors \( \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n \) and enter the coefficients as entries of the matrix as instructed. #### Vectors: 1. \( \mathbf{v}_1 = (1, 2, 3, 4) \) 2. \( \mathbf{v}_2 = (-1, 0, 1, 3) \) 3. \( \mathbf{v}_3 = (0, 5, -6, 8) \) 4. \( \mathbf{w} = (3, -6, 17, 11) \) *(Note: You need to enter the vectors in MATLAB as columns of a matrix EXM1.)* - If you decided that \(\mathbf{w} = c_1\mathbf{v}_1 + c_2\mathbf{v}_2 + \cdots + c_n\mathbf{v}_n\) Type: \( \text{EXA1} = [c_1 \, c_2 \, \cdots \, c_n] \) **Example:** - If \( \mathbf{w} = 2\mathbf{v}_1 - 3\mathbf{v}_2 + 5\mathbf{v}_3 \), enter \( \text{EXA1} = [2 \, -3 \, 5] \)
Transcribed Image Text:### Instructions: **I. Use MATLAB to determine whether \( \mathbf{w} \) is in the span of the given vectors \( \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n \).** - If your answer is yes, write \( \mathbf{w} \) as a linear combination of the vectors \( \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n \) and enter the coefficients as entries of the matrix as instructed. #### Vectors: 1. \( \mathbf{v}_1 = (1, 2, 3, 4) \) 2. \( \mathbf{v}_2 = (-1, 0, 1, 3) \) 3. \( \mathbf{v}_3 = (0, 5, -6, 8) \) 4. \( \mathbf{w} = (3, -6, 17, 11) \) *(Note: You need to enter the vectors in MATLAB as columns of a matrix EXM1.)* - If you decided that \(\mathbf{w} = c_1\mathbf{v}_1 + c_2\mathbf{v}_2 + \cdots + c_n\mathbf{v}_n\) Type: \( \text{EXA1} = [c_1 \, c_2 \, \cdots \, c_n] \) **Example:** - If \( \mathbf{w} = 2\mathbf{v}_1 - 3\mathbf{v}_2 + 5\mathbf{v}_3 \), enter \( \text{EXA1} = [2 \, -3 \, 5] \)
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