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Solved: Which of the matrices that follow are in row echelon form Which are in reduced
Chapter 1, Problem 1(choose chapter or problem)
Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form? (a) 1234 0012 (b) 100 000 001 (c) 130 001 000 (d) 0 1 0 0 0 0 (e) 111 012 003 (f) 146 001 013 (g) 10012 01024 00136 (h) 0134 0013 0000
Questions & Answers
QUESTION:
Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form? (a) 1234 0012 (b) 100 000 001 (c) 130 001 000 (d) 0 1 0 0 0 0 (e) 111 012 003 (f) 146 001 013 (g) 10012 01024 00136 (h) 0134 0013 0000
ANSWER:Step 1 of 9
A matrix can be considered in Row Echelon Form if it satisfies the following conditions,
(i) The leading non-zero entry in a row should be further to the right than the leading non-zero entry in the preceding rows.
(ii) Any non-zero rows are placed at the bottom of the matrix.
A matrix can be considered as a Reduced Row Echelon Form if, in addition to the above two condition, the matrix also satisfies the following two conditions
(iii) The first non-zero number in the leading row is the number 
(iv) The leading entry in each row must be the only non-zero number in its column.