Question

Which of the matrices below is/are in row echelon form? 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 3 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1

Answer 1

First that are satisfied state the conditions echelon form the row A un mahrine is satisfies when in echelon form the following condition et i) The first non- zero element in each row is 1. ü) Each leading entry the right of the is in column to leading entry in previous row in) Rows below with all zero elements, if any, are having non- zero element. nous a

Now, choose one by one a. b NOT a row + does not obey is echelon from the (ui) condition Tow the and zlo b. - o o 0 0 is if satisfies all row echelon form as three conditions the c. o 0 .s row echelon form et satisfies all the three conditions d. - a row echelon form et satisfies all three conditions e. OOO 000 OOO h NOT echelon form as it does not satisfies the (u) leading entry lies in two - condition column some

Hence the echelon forms оо - 0 ооо о о ооо o o- ооо о 3 5 )

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