Linear Algebra Quiz # 6(BEE-2A) Date: -12-11
Name: Reg #:
Question:
Let ( ) ( ) ( ) Find a linear transformation such that
( ) ( ) ( ) ( ) ( ) ( )
Solution:
Since are basis for , so any vector ( ) of can be written as span of these vectors
i.e.,
( ) ( ) ( ) ( )
( ) ( )
Augmented matrix is
[
] whose row echelon form is [
]
Thus
( ) ( )( ) ( )( ) ( )( )
Then
( ) ( )( ) ( )( ) ( )( )
( ) ( ) ( ) ( ) ( ) ( ) ( )
( ) ( )( ) ( )( ) ( )( )
( ) ( )
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