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Homework Statement
It's about Linear Algebra and vector spaces. I've tried it but i can't get the solution...:
In C[tex]^{5}[/tex], the vectorial subespace U generated for (1,2,-1,-1,2), (0,2,-1,0,-2), (00,2,-1,0) and the vectorial subespace V generated for (3,3,0,-5,2), (1,1,0,-3,2), (1,1,0,1,-2).
I have to find a base and the dimension of the vectorial subespaces U, V, U+V and U [tex]\cap[/tex]V. Do U and V define the same vectorial subespace?
Homework Equations
None.
The Attempt at a Solution
I have to find a base and the dimension of the vectorial subespaces U, V, U+V and U [tex]\cap[/tex]V. Do U and V define the same vectorial subespace?
Thank you!