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Linear Operators - Vector Spaces

Question (4)

Solve the equations over R

X1 + 2X2 - 3X3 + 4X4 = 0
X1 + 3X2 - X3 = 0
6X1 + X3 + 2X4 = 0

Question (5)

If F = R find Annihilator A(W) of the space W spanned by (2 , 4 , 6 ) , ( 1 , 6 , 2 ).
( Note : Here F is the field and R represents the set of Real Numbers)

See attached file for full problem description.

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Solution (4)

Associated matrix of coefficients is .....
Now we try to reduce it to Echelon form.
...........
It is in Echelon form
Therefore, the Echelon form of equations ...

Solution Summary

Solutions to the posted problems are given with step by step explanation in the attached solution files (two Word and one PDF copy).

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