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T: P2 → R³ defined by T(a + bx + cx²) = (a + 1,6, c). T: R5 → R² defined by T(x1, x2, x3, X4, X5) = (x1,x2). T : R' → R defined by T(7) =< ¤, (1,2, 3, 4) >.

T: P2 → R³ defined by T(a + bx + cx²) = (a + 1,6, c). T: R5 → R² defined by T(x1, x2, x3, X4, X5) = (x1,x2). T : R' → R defined by T(7) =< ¤, (1,2, 3, 4) >.

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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Which of the maps below are linear transformations? Mark all correct an- Swers.
Transcribed Image Text:Which of the maps below are linear transformations? Mark all correct an- Swers.
0. T: P2 → R³ defined by T(a +bx + cx²) = (a + 1, b, c). Oa. T: R5 → R? defined by T(x1, X2, X3, X4, X5) = (x1,x2). Ob. o. T: R* → R defined by T(7) =< ï, (1,2, 3, 4) >. Oc. T: M22(R) → M22(R) defined by T(A) = A+ I2 Od. o. = det(A). T : M3,3(R) → R defined by T(A) = Oe.
Transcribed Image Text:0. T: P2 → R³ defined by T(a +bx + cx²) = (a + 1, b, c). Oa. T: R5 → R? defined by T(x1, X2, X3, X4, X5) = (x1,x2). Ob. o. T: R* → R defined by T(7) =< ï, (1,2, 3, 4) >. Oc. T: M22(R) → M22(R) defined by T(A) = A+ I2 Od. o. = det(A). T : M3,3(R) → R defined by T(A) = Oe.
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