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Question 5. Suppose that C₁, C2, C3 are three columns of a 3 x 3 matrix A of rank 2. Assume that C₁=C₂ + 3C₂. Find a basis of the null space N(A). A basis is given by the columns C_2.C_3 O A basis is given by the column (1,-1,-3)^T (the transpose T of this row vector) OA basis is given by the two columns C_1, C_2 O A basis is given by the column (0,1,3)^T (the transpose T of this row vector)

Question 5. Suppose that C₁, C2, C3 are three columns of a 3 x 3 matrix A of rank 2. Assume that C₁=C₂ + 3C₂. Find a basis of the null space N(A). A basis is given by the columns C_2.C_3 O A basis is given by the column (1,-1,-3)^T (the transpose T of this row vector) OA basis is given by the two columns C_1, C_2 O A basis is given by the column (0,1,3)^T (the transpose T of this row vector)

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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Question 5. Suppose that C₁, C₂, C3 are three columns of a 3 x 3 matrix A of rank 2. Assume that C₁ = C₂ + 3C₂. Find a basis of the null space N(A). OA basis is given by the columns C_2.C_3 OA basis is given by the column (1,-1,-3)^T (the transpose T of this row vector) A basis is given by the two columns C_1. C_2 OA basis is given by the column (0,1,3)^T (the transpose T of this row vector)
Transcribed Image Text:Question 5. Suppose that C₁, C₂, C3 are three columns of a 3 x 3 matrix A of rank 2. Assume that C₁ = C₂ + 3C₂. Find a basis of the null space N(A). OA basis is given by the columns C_2.C_3 OA basis is given by the column (1,-1,-3)^T (the transpose T of this row vector) A basis is given by the two columns C_1. C_2 OA basis is given by the column (0,1,3)^T (the transpose T of this row vector)
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