Linear Operators - Vector Spaces
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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)
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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 ...
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