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OA. A single vector by itself is linearly dependent. ☐ B. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. O C. A basis is a spanning set that is as large as possible. OD. If H = span{b₁,..., bp}, then {b₁,..., bp} is a basis for H. OE. The columns of an invertible n x n matrix form a basis for R".

OA. A single vector by itself is linearly dependent. ☐ B. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. O C. A basis is a spanning set that is as large as possible. OD. If H = span{b₁,..., bp}, then {b₁,..., bp} is a basis for H. OE. The columns of an invertible n x n matrix form a basis for R".

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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Check the true statements below: A. A single vector by itself is linearly dependent. B. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. C. A basis is a spanning set that is as large as possible. OD. If H = span{b₁,..., bp}, then {b₁,..., bp} is a basis for H. E. The columns of an invertible n x n matrix form a basis for R".
Transcribed Image Text:Check the true statements below: A. A single vector by itself is linearly dependent. B. In some cases, the linear dependence relations amoung the columns of a matrix can be affected by certain elementary row operations on the matrix. C. A basis is a spanning set that is as large as possible. OD. If H = span{b₁,..., bp}, then {b₁,..., bp} is a basis for H. E. The columns of an invertible n x n matrix form a basis for R".
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