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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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