How do you write the matrix #[(1, 1, 0, 5), (-2, -1, 2, -10), (3, 6, 7, 14)]# using the row echelon form?

1 Answer
Narad T.
Feb 3, 2018

The row echelon form is #=((1,1,0,5),(0,1,2,0),(0,0,1,-1))#

Explanation:

A matrix is in row echelon form if :

  • Each row has a 1 as first non-zero entry

  • For 2 succesive rows, the leading 1 in higher row is farther left than the leading 1 in the lower row

Perform the following operations on the rows

#A=((1,1,0,5),(-2,-1,2,-10),(3,6,7,14))#

#(R2larrR2+2R1)# and #(R3larrR3-3R1)#

#=((1,1,0,5),(0,1,2,0),(0,3,7,-1))#

#(R3larrR3-3R2)#

#=((1,1,0,5),(0,1,2,0),(0,0,1,-1))#

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