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Find all x in R* that are mapped into the zero vector by the transformation x→A 1-3 1 - 6 1-3 4 -4 -4 -4 A = 0 2

Find all x in R* that are mapped into the zero vector by the transformation x→A 1-3 1 - 6 1-3 4 -4 -4 -4 A = 0 2

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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Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. 1 - 3 1 - 6 1 3 4 2-4 -4 -4 A = 0 Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is only one vector, which is x = O B. C. X₁ X3 D. X3 + X₂ + X4 + X4
Transcribed Image Text:Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. 1 - 3 1 - 6 1 3 4 2-4 -4 -4 A = 0 Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is only one vector, which is x = O B. C. X₁ X3 D. X3 + X₂ + X4 + X4
Let x = - 3 1 A = and v₂ = 2 5 and let T: R² R² be a linear transformation that maps x into x₁v₁ + X2V2. x2 Find a matrix A such that T(x) is Ax for each x.
Transcribed Image Text:Let x = - 3 1 A = and v₂ = 2 5 and let T: R² R² be a linear transformation that maps x into x₁v₁ + X2V2. x2 Find a matrix A such that T(x) is Ax for each x.
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