TRUE or FALSE If v + w is a vector space, then v and w are also in the vector space The union of 2 lines both passing through the origin correspond to a vector space A vector space must contain at least 1 vector A linear map in R^2 that send (x,y) to (y,x) has the matrix from A,
TRUE or FALSE
- If v + w is a
vector space, then v and w are also in the vector space - The union of 2 lines both passing through the origin correspond to a vector space
- A vector space must contain at least 1 vector
- A linear map in R^2 that send (x,y) to (y,x) has the matrix from A,
where A[column1 = 0,1], and A[ column2 = 1,0]
5. A linear map R^3 has the matrix form A, where
A[col = 0, -1 , 0 , A ( col2 = 1,0,0) and A ( col3= 0,0,1) This is a rotation around the
x-axis
6. A linear map in R^2 has the matrix form A, where A [ col1 = 0,-1 ] and A[col2 = 1,0] This is a rotation operation
7. If v is in a vector space, then -v is also in the vector space
8. The intersection of 2 planes in R^3 corresponds to a vector space
9. The solution space of a system of linear equations is a vector space
10. If v is a vector space then v/2 is also in the vector space
11. A linear map in R^2 that send (x,y) to (-x,y) has the matrix form A, where
A[ col1 = -1,0, and A[col2 = 0,1]
12. The null space A of matrix is a vector space
13. If v+w and v-w are both in a vector space, then v and w are also in the vector space
14. A linear map R^2 that send (x,y) to (-x,y) has the matrix form A, where A[ col1 = 0,-1] and A[col2 = -1,0]
15. The null space for the matrix A, where A=[col1= 1,2] and A[col2= 2,4] is the form
[-2k,k] where k can be any real numbers
16. A linear map in R^2 that send (x,y) to (2x,2y) has the matrix form A, where A[col1= 0,2] and A[col2= 2,0 ]
17. A linear map R^3 has the matrix form A, where A[col1= [ 0 , -1, 0 ]
and A[col2 = 1, 0 ,0 ] and A [ col3 = 0, 0 ,1] This is rotation around the x-axis
18. If u+v and u+w are both in a vector space, then v+ w are also in the vector space
19. A vector space in R^2 must have infinite number of element or no element at all
20. IF (1,0,0) and (0,1,0) are in the vector space in R^3 then the x-y plane is in the vector space
21. A vector space with the zero vector removed is no longer a vector space
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
