Q-4: Let T: R3 R? be a linear transformation such that T 3 and T !! Find a formula for T(X),X e R°. Find a matrix A such that T(X) = AX. Describe the null space and the range ofT.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q-4: Let T: R3
- R? be a linear transformation such that T
3
T
and T
!!
Find a formula for T(X), X E R³.
Find a matrix A such that T(X) = AX.
Describe the null space and the range ofT.
Transcribed Image Text:Q-4: Let T: R3 - R? be a linear transformation such that T 3 T and T !! Find a formula for T(X), X E R³. Find a matrix A such that T(X) = AX. Describe the null space and the range ofT.
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