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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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