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Determine if the set is a basis for R3. Justify your answer. 886 Is the given set a basis for R³? A. No, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OB. Yes, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". OC. Yes, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OD. No, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent. A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R.

Determine if the set is a basis for R3. Justify your answer. 886 Is the given set a basis for R³? A. No, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OB. Yes, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". OC. Yes, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OD. No, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent. A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span 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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Determine if the set is a basis for R3. Justify your answer. 886 Is the given set a basis for R³? A. No, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OB. Yes, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". OC. Yes, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OD. No, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent. A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R.
Transcribed Image Text:Determine if the set is a basis for R3. Justify your answer. 886 Is the given set a basis for R³? A. No, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OB. Yes, because these three vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". OC. Yes, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". OD. No, because these three vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent. A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R.
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