Answer:
5. A
6. B
7. A
Step-by-step explanation:
You put in the number for x. Here are the answers across
6 6 6
18 9 18
30 12 30
Answer: If the dimension of V is n, then V has n elements.
Now, dim(U) + dim(W) = n, this means that the addition of the dimensions of U and W also has n elements.
and because U and W are subspaces of V, you know that every element on U and W is also an element of V.
If U ∩ W = ∅, means that there are no elements in common between U and W.
Because there are no elements in common, then Dim(U) + Dim(W) = dim(U ∪ W) = n
So U ∪ W has the same number of elements as V, and every element of W and U is also an element of V
this means that U ∪ W = V.
Answer:
A. 7
Step-by-step explanation:
you bring down the 1 and multiply it by -2 then -2 goes to add with 2, which makes it 0. Then 0 x -2 is 0. 0 then goes to add with -3, then -3 comes down. -2 x -3 is 6. 6+1 is 7.
