1. Give example of coefficient matrices A given in row echelon or reduced row echelon form , that satisfy the following conditions or explain why it is not possible. Explain why your choice satisfies the conditions. (You do not have to do any row operations, just give the matrices in the already reduced form) (a) A is a 4 x 3 matrix where the columns form a linearly independent set. (b) A is a 3 x 3 matrix where the columns form a linearly dependent set. Give a possible linear dependence relation for the columns.
1. Give example of coefficient matrices A given in row echelon or reduced row echelon form , that satisfy the following conditions or explain why it is not possible. Explain why your choice satisfies the conditions. (You do not have to do any row operations, just give the matrices in the already reduced form) (a) A is a 4 x 3 matrix where the columns form a linearly independent set. (b) A is a 3 x 3 matrix where the columns form a linearly dependent set. Give a possible linear dependence relation for the columns.
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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Transcribed Image Text:1. Give example of coefficient matrices A given in row echelon or reduced row echelon form , that satisfy the following
conditions or explain why it is not possible. Explain why your choice satisfies the conditions. (You do not have to do
any row operations, just give the matrices in the already reduced form)
(a) A is a 4 x 3 matrix where the columns form a linearly independent set.
(b) A is a 3 x 3 matrix where the columns form a linearly dependent set. Give a possible linear dependence relation
for the columns.
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