Suppose that A is an m x n matrix and that the rank of A is equal to n. Select which of the following statements are guaranteed to be true: From the 4 choices, select all that apply The columns of A span R" The columns of A are linearly dependent The columns of A are linearly independent The columns of A span IR"

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Suppose that A is an m x n matrix and that the rank of A is equal to n.
Select which of the following statements are guaranteed to be true:
From the 4 choices, select all that apply
The columns of A span IR"
The columns of A are linearly dependent
The columns of A are linearly independent
The columns of A span R"
Transcribed Image Text:Suppose that A is an m x n matrix and that the rank of A is equal to n. Select which of the following statements are guaranteed to be true: From the 4 choices, select all that apply The columns of A span IR" The columns of A are linearly dependent The columns of A are linearly independent The columns of A span R"
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