I'm struggling to understand why there is a 1 at the bottom of the row (first and third example of the matrix in row echelon form) when the definition it states that for it to be in row echelon form it must have the bottom row entirely consisting of zeros. Please explain with as much simplicity and conciseness as possible, breaking it down bit by bit. Many thanks. Definition 1.8. A matrix is said to be in row echelon form if it satisfies the followingthree conditions:(i) All zero rows (consisting entirely of zeros) are at the bottom.(ii) The first non-zero entry from the left in each nonzero row is a 1, called the leading1 for that row.(iii) Each leading 1 is to the right of all leading 1's in the rows above it.dition i Example 1.9. Matrices in row echelon form:14 21 3 1 001 3001300000 0 1,Matrices in reduced row echelon2 0 10 1 20 0 010001form:"/0 1 2)(13)2)0 0 1150 20 3(3) ()001 -10 1 20 0 0 00002The variables corresponding to the leading 1's of the augmented matrix in row ech-elon form will be referred to as the leading variables, the remaining ones as the freevariables.

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I'm struggling to understand why there is a 1 at the bottom of the row (first and third example of the matrix in row echelon form) when the definition it states that for it to be in row echelon form it must have the bottom row entirely consisting of zeros. Please explain with as much simplicity and conciseness as possible, breaking it down bit by bit. Many thanks.

I'm struggling to understand why there is a 1 at the bottom of the row (first and third example of the matrix in row echelon form) when the definition it states that for it to be in row echelon form it must have the bottom row entirely consisting of zeros. Please explain with as much simplicity and conciseness as possible, breaking it down bit by bit. Many thanks.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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