Let U1, U2, U3 – be the following subspaces of R4 Ui={(a, b, c, d)eR*| a - b+ 2c+ d=0, a - Ob - - . 2d=0}; а - C-. Uz= {a, b, c, d)eR c=b=0 a=d; }; U3={a, b, c, d)eR“| a -b - 2.c + d=0, a - b +. c+ 2'd=0}; Find a basis and the dimension for each Ui, i=1, 2, 3
Let U1, U2, U3 – be the following subspaces of R4 Ui={(a, b, c, d)eR*| a - b+ 2c+ d=0, a - Ob - - . 2d=0}; а - C-. Uz= {a, b, c, d)eR c=b=0 a=d; }; U3={a, b, c, d)eR“| a -b - 2.c + d=0, a - b +. c+ 2'd=0}; Find a basis and the dimension for each Ui, i=1, 2, 3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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