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(a) Let ta -[H]€ R2. Consider the linear transformation where-denotes the dot product on R². (Recall: [] [] •N₂ + Mg) Geometrically, this linear transformation corresponds to a projection onto a line in R² through the origin with direction vector Find a non zero vector in the image of yo The vector w is in the image of since (8) P: R² R²

(a) Let ta -[H]€ R2. Consider the linear transformation where-denotes the dot product on R². (Recall: [] [] •N₂ + Mg) Geometrically, this linear transformation corresponds to a projection onto a line in R² through the origin with direction vector Find a non zero vector in the image of yo The vector w is in the image of since (8) P: R² R²

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
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(a) Let ta -[H]€ R2. Consider the linear transformation where-denotes the dot product on R². (Recall: [] [] •N₂ + Mg) Geometrically, this linear transformation corresponds to a projection onto a line in R² through the origin with direction vector Find a non zero vector in the image of yo The vector w is in the image of since (8) P: R² R²
Transcribed Image Text:(a) Let ta -[H]€ R2. Consider the linear transformation where-denotes the dot product on R². (Recall: [] [] •N₂ + Mg) Geometrically, this linear transformation corresponds to a projection onto a line in R² through the origin with direction vector Find a non zero vector in the image of yo The vector w is in the image of since (8) P: R² R²
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