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Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither

Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 2T
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Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither
Transcribed Image Text:Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 0 0 1 0 0 0 0 0 1 0 LO 007 STEP 1: Check rows consisting entirely of zeros. Do all rows (if any) consisting entirely of zeros occur at the bottom of the matrix? O Yes O No O There are no rows consisting entirely of zeros. STEP 2: Check the first nonzero entry of each row. Does each row that does not consist entirely of zeros have the first nonzero entry equal to 1? O Yes O No O There are no rows that do not consist entirely of zeros. STEP 3: Check successive nonzero rows. If each nonzero row has a leading 1, is the leading 1 in the higher row farther to the left of the leading 1 in the lower row for each pair of successive rows? O Yes O No O There exists at least one row which does not have a leading 1. STEP 4: Check the columns with leading ones. Does every column with a leading 1 have zeros in every position above and below its leading 1? O Yes O No STEP 5: Determine the form of the matrix. (Select all that apply.) Orow-echelon form O reduced row-echelon form Oneither
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