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Ex.2. Let t: R3 → R³ be a linear transformation such that, t (a, b, c) = (3a + c, - 2a + b, - a+ 2b+ 4c). what is the matrix of t in the ordered basis {a, a,, az}, where a1 = (1, 0, 1), az = (-1, 2, 1), az = (2, 1, 1). %3D

Ex.2. Let t: R3 → R³ be a linear transformation such that, t (a, b, c) = (3a + c, - 2a + b, - a+ 2b+ 4c). what is the matrix of t in the ordered basis {a, a,, az}, where a1 = (1, 0, 1), az = (-1, 2, 1), az = (2, 1, 1). %3D

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
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Ex.2. Let t : R³ → R³ be a linear transformation such that, t (a, b, c) = (3a + c, – 2a + b, – a + 2b + 4c). what is the matrix of t in the ordered basis {a,a,, ɑz}, where a, = (1, 0, 1), az = (-1, 2, 1), az = (2, 1, 1).
Transcribed Image Text:Ex.2. Let t : R³ → R³ be a linear transformation such that, t (a, b, c) = (3a + c, – 2a + b, – a + 2b + 4c). what is the matrix of t in the ordered basis {a,a,, ɑz}, where a, = (1, 0, 1), az = (-1, 2, 1), az = (2, 1, 1).
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