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goldfronts1
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I am totally lost on the following questions. What does exhibit mean?
1) Show that the given set H is a subspace of ℜ^3 by finding a matrix A such
that N(A) = H (in this case, N(A) represents the null space of A).
2) Exhibit a basis for the vector space H.
a
b {for all R^3: a=b-c and 2a-b=b-c}
c
3) Show that the given set W is a subspace of ℜ^4 by finding a matrix B such
that Col(B) = W (in this case, Col(B) represents the column space of B).
4) Exhibit a basis for the vector space W.
a-3b+c
2b-11c
a-3b+9c {for all R^4: a,b,c for all R }
c+a-b
Any help is greatly appreciated
1) Show that the given set H is a subspace of ℜ^3 by finding a matrix A such
that N(A) = H (in this case, N(A) represents the null space of A).
2) Exhibit a basis for the vector space H.
a
b {for all R^3: a=b-c and 2a-b=b-c}
c
3) Show that the given set W is a subspace of ℜ^4 by finding a matrix B such
that Col(B) = W (in this case, Col(B) represents the column space of B).
4) Exhibit a basis for the vector space W.
a-3b+c
2b-11c
a-3b+9c {for all R^4: a,b,c for all R }
c+a-b
Any help is greatly appreciated
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