## Solution for problem 1 Chapter 3.3

# In Exercises 1 through 20, find the redundant column vectors of the given matrix A by

Linear Algebra with Applications | 4th Edition

In Exercises 1 through 20, find the redundant column vectors of the given matrix A by inspection. Then find a basis of the image of A and a basis of the kernel of A.

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FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS II: Graphical and Numerical Methods David Levermore Department of Mathematics University of Maryland 29 January 2012 Because the presentation of this material in lecture will diﬀer from that in the book, I felt that notes that closely follow the lecture presentation might be appreciated. Contents 5. First-Order Equations: General Theory 5.1. Well-Posed Problems 2 5.2. Existence and Uniqueness 3 6. First-Order Equations: Gr

###### Chapter 3.3, Problem 1 is Solved

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In Exercises 1 through 20, find the redundant column vectors of the given matrix A by