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Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
thanks- student82
- Post #6
- Forum: Linear and Abstract Algebra
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Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
sorry is {(0,0,1,0),(0,1,0,0)} the correct answer.- student82
- Post #4
- Forum: Linear and Abstract Algebra
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Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
is (0,1,0,0) the correct answer?- student82
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
V is a subspace of R^4 V={(x, -y, 2x+y, x-2y): x,y E R} 1) extend {(2,-1,5,0)} to a basis of V. 2) find subspace W of R^4 for which R^4= direct sum V(+)W. solution: 1)the dimension of V is 2.therefore i need to add one more vector to (2,-1,5,0). the 2nd vector is (1,0,2,1)...- student82
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- Direct sum Subspace Sum
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- Forum: Linear and Abstract Algebra