Which of the following are true for the matrix A in reduced row echelon form (there is no augmented column): 1 0 0 0 0100 001 0 0 0 0 1 The columns are independent. The corresponding system is always solvable. There is a pivot in each column. There is a pivot in each row. The columns form a spanning set. Every solution is unique.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following are true for the matrix A in reduced row echelon form (there is no
augmented column):
1 0 0 0
0100
001 0
0 0 0 1
The columns are independent.
The corresponding system is always solvable.
There is a pivot in each column.
There is a pivot in each row.
The columns form a spanning set.
Every solution is unique.
Transcribed Image Text:Which of the following are true for the matrix A in reduced row echelon form (there is no augmented column): 1 0 0 0 0100 001 0 0 0 0 1 The columns are independent. The corresponding system is always solvable. There is a pivot in each column. There is a pivot in each row. The columns form a spanning set. Every solution is unique.
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