Suppose a₁, 2², 23, 24, and a5 are vectors in R ³, A = (a₁ | a₂ | a3 | a | a5), and a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4} = R³ | B. span{a₁, a2, a3} = R³ |C. {a₁, a₂ } is a linearly independent set D. {a₁, a₂ } is a basis for R ³ □E. {a₁, a₂, a3, a4} is a basis for R ³ F. {a₁, a₂, a3} is a linearly independent set rref(A) = |G. {a₁, a2, a3 } is a basis for R 3 H. span{a₁, a₂ } = R ³ ✓l. {a₁, a₂, a3, a4} is a linearly independent set 0 1 0 0 1 0 00 -1 1 1 722
Suppose a₁, 2², 23, 24, and a5 are vectors in R ³, A = (a₁ | a₂ | a3 | a | a5), and a. Select all of the true statements (there may be more than one correct answer). A. span{a₁, a2, a3, a4} = R³ | B. span{a₁, a2, a3} = R³ |C. {a₁, a₂ } is a linearly independent set D. {a₁, a₂ } is a basis for R ³ □E. {a₁, a₂, a3, a4} is a basis for R ³ F. {a₁, a₂, a3} is a linearly independent set rref(A) = |G. {a₁, a2, a3 } is a basis for R 3 H. span{a₁, a₂ } = R ³ ✓l. {a₁, a₂, a3, a4} is a linearly independent set 0 1 0 0 1 0 00 -1 1 1 722
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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