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Determine all values of k for which the set S = {(0,-1,0,k), (1,0,1, 0), (0,1,1, 0), (k,0,2,1)} is a basis for R*.

Determine all values of k for which the set S = {(0,-1,0,k), (1,0,1, 0), (0,1,1, 0), (k,0,2,1)} is a basis for R*.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement** Determine all values of \( k \) for which the set \[ S = \{ (0, -1, 0, k), (1, 0, 1, 0), (0, 1, 1, 0), (k, 0, 2, 1) \} \] is a basis for \( \mathbb{R}^4 \).
Transcribed Image Text:**Problem Statement** Determine all values of \( k \) for which the set \[ S = \{ (0, -1, 0, k), (1, 0, 1, 0), (0, 1, 1, 0), (k, 0, 2, 1) \} \] is a basis for \( \mathbb{R}^4 \).
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