2.1. Find an echelon matrix that is row equivalent to the matrix 2 4 5 8 1 2 3 2 2 1 1 A = 3 1 If at denotes the element in the i-th row and j-th column of A, identify the aij aij that are pivots. 200 4 5 8 2.1 0 10 11 18. Another possible echelon matrix (if first you switch row 0 1 2 12 2 1] 1 and row 3), is 0 5 1 0. Of course all such echelon matrices are row 001 2 equivalent to each other. The pivot elements are a11, a22 and a33- 1 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2.1. Find an echelon matrix that is row equivalent to the matrix
2 4
5 8
1
2 3
2
2 1 1
A = 3
1
If at denotes the element in the i-th row and j-th column of A, identify the aij
aij
that are pivots.
Transcribed Image Text:2.1. Find an echelon matrix that is row equivalent to the matrix 2 4 5 8 1 2 3 2 2 1 1 A = 3 1 If at denotes the element in the i-th row and j-th column of A, identify the aij aij that are pivots.
200
4 5 8
2.1 0 10 11 18. Another possible echelon matrix (if first you switch row
0 1
2
12 2
1]
1 and row 3), is 0 5 1 0. Of course all such echelon matrices are row
001 2
equivalent to each other. The pivot elements are a11, a22 and a33-
1
1
Transcribed Image Text:200 4 5 8 2.1 0 10 11 18. Another possible echelon matrix (if first you switch row 0 1 2 12 2 1] 1 and row 3), is 0 5 1 0. Of course all such echelon matrices are row 001 2 equivalent to each other. The pivot elements are a11, a22 and a33- 1 1
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