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In Exercises 23–26, describe the possible
Chapter 1, Problem 24E(choose chapter or problem)
PROBLEM 24E
In Exercises 23–26, describe the possible echelon forms of the matrix. Use the notation of Example 1 in Section 1.2.
A is a 2 × 2 matrix with linearly dependent columns.
Example 1:
a. Determine if the set { v1, v2, v3,} is linearly independent.
b. If possible, find a linear dependence relation among v1, v2 and v3,
Questions & Answers
QUESTION:
PROBLEM 24E
In Exercises 23–26, describe the possible echelon forms of the matrix. Use the notation of Example 1 in Section 1.2.
A is a 2 × 2 matrix with linearly dependent columns.
Example 1:
a. Determine if the set { v1, v2, v3,} is linearly independent.
b. If possible, find a linear dependence relation among v1, v2 and v3,
ANSWER:
Solution
Step 1
Given
, ,