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Describe the possible echelon forms of the matrices below using 0, 1 for the pivot and * for all other entries. а. A is a 2x2 matrix with linearly independent columns. b. A is a 4x3 matriх, А%3D| а, а, а, such that 19 is linearly independent and a, is not in span a,,a,}. С. How many pivot columns must a 6x4 matrix have if its columns are independent? Why?

Describe the possible echelon forms of the matrices below using 0, 1 for the pivot and * for all other entries. а. A is a 2x2 matrix with linearly independent columns. b. A is a 4x3 matriх, А%3D| а, а, а, such that 19 is linearly independent and a, is not in span a,,a,}. С. How many pivot columns must a 6x4 matrix have if its columns are independent? Why?

Advanced Engineering Mathematics
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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Describe the possible echelon forms of the matrices below using 0, 1 for the pivot and * for all other entries. a. A is a 2x2 matrix with linearly independent columns. b. A is a 4x3 matrix, A= a, a, az such that {a,,a,} is linearly independent and a, is not in span{a,,a,} С. How many pivot columns must a 6x4 matrix have if its columns are independent? Why?
Transcribed Image Text:Describe the possible echelon forms of the matrices below using 0, 1 for the pivot and * for all other entries. a. A is a 2x2 matrix with linearly independent columns. b. A is a 4x3 matrix, A= a, a, az such that {a,,a,} is linearly independent and a, is not in span{a,,a,} С. How many pivot columns must a 6x4 matrix have if its columns are independent? Why?
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