LA -1 -1 -1
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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Question
Give bases for row( A), col( A), and null(A)
Expert Solution
Step 1
The given matrix is
We have to find the basis for row(A), col(A), and null(A).
Step 2
We have
We have to find a basis for row(A),
We have to convert the given matrix into row-reduced echelon form, we get
The number of non-zero rows of a matrix in reduced row echelon form is clearly linearly independent.
Therefore it always forms a basis for the row space of A.
The basis of row space is .
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