8. Show that the mapping T: V,(R) → V½(R) defined = (3a, - 2az + az3, a1 – 3a, – 2az3) is a linear transformation from V (R) into V, (R). T(a,, az, az) as

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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8. Show that - the mapping T:V,(R)→ V½(R)
= (3a, – 2ãz + az, a1 – 3az – 2az) is a linear transformation from V (R) into
V½ (R).
defined
as T(a,,az, az)
%3D
|-
Transcribed Image Text:8. Show that - the mapping T:V,(R)→ V½(R) = (3a, – 2ãz + az, a1 – 3az – 2az) is a linear transformation from V (R) into V½ (R). defined as T(a,,az, az) %3D |-
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