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Select whether each statement is true or false. 1. ? ✓ If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has 0's below it. 2. ? If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions. 3. ? If the bottom row of a matrix in reduced row-echelon form contains all O's, then the system has infinitely many solutions. Note: I ? T F Learn partial credit on this problem

Select whether each statement is true or false. 1. ? ✓ If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has 0's below it. 2. ? If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions. 3. ? If the bottom row of a matrix in reduced row-echelon form contains all O's, then the system has infinitely many solutions. Note: I ? T F Learn partial credit on this problem

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 100E
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Select whether each statement is true or false. 1. ? ✓ If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has 0's below it. 2. ? ✓ If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions. 3. ? ✓ If the bottom row of a matrix in reduced row-echelon form contains all O's, then the system has infinitely many solutions. Noto: W ? T F garn partial cradit on this problem
Transcribed Image Text:Select whether each statement is true or false. 1. ? ✓ If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has 0's below it. 2. ? ✓ If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions. 3. ? ✓ If the bottom row of a matrix in reduced row-echelon form contains all O's, then the system has infinitely many solutions. Noto: W ? T F garn partial cradit on this problem
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