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Suppose a₁, A2, A3, a4, and a5 are vectors in R3³, A = (a₁ | ª₂ | a3 | 24 | 25), and 1 0 0 -5 0 1 0 2 0 0 1 1 C. span{a₁, a2} R³ |D. {a₁, A₂, A3 } is a linearly independent set m3 rref(A) a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4 } = R³ B. {A₁, A2, A3, A4 } is a linearly independent set = = 2 2 -3

Suppose a₁, A2, A3, a4, and a5 are vectors in R3³, A = (a₁ | ª₂ | a3 | 24 | 25), and 1 0 0 -5 0 1 0 2 0 0 1 1 C. span{a₁, a2} R³ |D. {a₁, A₂, A3 } is a linearly independent set m3 rref(A) a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4 } = R³ B. {A₁, A2, A3, A4 } is a linearly independent set = = 2 2 -3

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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Which of these statements are correct?

Suppose a₁, a₂, 23, 24, and a5 are vectors in R³, A = (a₁ | A₂ | a3 | 24 | 25), and 0 0 -5 - 11 = 0 0 2 1 C. span{a₁, a2} = = R³ D. {a₁, a₂, a3 } is a linearly independent set rref(A) 3 E. {a₁, A₂, A3, a4} is a basis for R³ F. {a₁, A₂, A3 } is a basis for R³ ✔G. {a₁, a₂ } is a linearly independent set H. span{a₁, a2, a3 } = R³ 1. {a₁, a₂ } is a basis for R³ 1 a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4} = R³ B. {a₁, A₂, A3, A4} is a linearly independent set 0 01 2 2 -3
Transcribed Image Text:Suppose a₁, a₂, 23, 24, and a5 are vectors in R³, A = (a₁ | A₂ | a3 | 24 | 25), and 0 0 -5 - 11 = 0 0 2 1 C. span{a₁, a2} = = R³ D. {a₁, a₂, a3 } is a linearly independent set rref(A) 3 E. {a₁, A₂, A3, a4} is a basis for R³ F. {a₁, A₂, A3 } is a basis for R³ ✔G. {a₁, a₂ } is a linearly independent set H. span{a₁, a2, a3 } = R³ 1. {a₁, a₂ } is a basis for R³ 1 a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4} = R³ B. {a₁, A₂, A3, A4} is a linearly independent set 0 01 2 2 -3
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