3. Answer true or false for cach statement. (a) If an augmented matrix in RREF has a pivot in the rightmost column, then the corresponding system of lincar equations must be inconsistent. (b) If the bottom row of an augmented matrix in RREF is (0 1 00), then the corresponding system of linear equations must have infinitely many solutions. Enter your answer for (a) here: (a) is False Enter your answer for (b) here: [Select]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Answer true or false for cach statement.
(a) If an augmented matrix in RREF has a pivot in the rightmost column, then the corresponding
system of lincar equations must be inconsistent.
(b) If the bottom row of an augmented matrix in RREF is (0 1 0|0), then the corresponding
system of linear equations must have infinitely many solutions.
Enter
your answer for (a) here: (a) is False
Enter your answer for (b) here: [Select]
Transcribed Image Text:3. Answer true or false for cach statement. (a) If an augmented matrix in RREF has a pivot in the rightmost column, then the corresponding system of lincar equations must be inconsistent. (b) If the bottom row of an augmented matrix in RREF is (0 1 0|0), then the corresponding system of linear equations must have infinitely many solutions. Enter your answer for (a) here: (a) is False Enter your answer for (b) here: [Select]
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