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Let T: R³ R³ be a linear transformation such that T(1, 2, 3) = (x1 − 2x₂ + 3x3, −₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previous

Let T: R³ R³ be a linear transformation such that T(1, 2, 3) = (x1 − 2x₂ + 3x3, −₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previous

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 4EQ
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Let T: R³ R³ be a linear transformation such that →>> T(#1, #2, 3) = (x1 − 2x₂ + 3x3, −æ₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previous
Transcribed Image Text:Let T: R³ R³ be a linear transformation such that →>> T(#1, #2, 3) = (x1 − 2x₂ + 3x3, −æ₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previous
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