O Can the columns of a 4 × 3 matrix span all of R4?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Explain your answer to each question.

(a) Can the columns of a 4 × 3 matrix span all of R4?
(b) if the m × n matrix A has a pivot position in every column, can the matrix equation Ax = b
be consistent for every b E Rm?
Transcribed Image Text:(a) Can the columns of a 4 × 3 matrix span all of R4? (b) if the m × n matrix A has a pivot position in every column, can the matrix equation Ax = b be consistent for every b E Rm?
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