Consider the subspaces
U=span{[4 −2 −2],[10 1− 4]}
and
W=span{[3 −4 −1],[10 2 −2]}.
Find a matrix X∈V such that U∩W=span{W}.
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Consider the subspaces U=span{[4 −2 −2],[10 1− 4]} and W=span{[3 −4 −1],[10 2 −2]}.Find a matrix X∈V such that U∩W=span{W}.
Consider the subspaces U = span{(-4 -1 -4),(-12 -5 -9]} and W = span{[5_0 -3], [1 -3 -4}} of V = R1*3. Find a matrix X € V such that U W = span{X}.
ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Find an orthonormal basis QWL of WL and find the dimension of WL 3. GIven a vector u- . find the Qw coordinate of Projw(v) . find the Qwa coordinate of Projwi (v) » find the coordinate...
8. Find a basis and the dimension of each of the following subspaces (a) U Span{2+x, 3r 2, r2-1,2 2 (b) U Spant 1,33 2, 2-1,2 2 (c) U M EM2x2|MJ = JMT for every JE M2x2}
1 Problem 4. Let V be a vector space and let U and W be two subspaces of V. Let (1) Prove that ifU W andWgU then UUW is not a subspace of V (2) Give an example of V, U and W such that U W andWgU. Explicitly verify the implication of the statement in part1). (3) Proue that UUW is a subspace of V if and only if U-W or W- (4) Give an example that proues the...
QUESTION 8 Let V = U ㊥ W where V is a finite-dimensional vector space over a field F, and U and w are subspaces of V. Suppose U1 and U2 are subspaces of U and Wi and W2 are subspaces of W Show that QUESTION 8 Let V = U ㊥ W where V is a finite-dimensional vector space over a field F, and U and w are subspaces of V. Suppose U1 and U2 are subspaces of U...
1. (10 points) Suppose that U and W are subspaces of a vector space V such that vi,, , ,tk İs a basis of U and wi,. . . , wn, V1, . , Uk is a basis of W. m, W1,.. ., Wn,v],.. . ,vk is a basis of U +W, and deduce that dim(U+W)- Show that u1,. .. , w1, dim(U) + dim(W) - dim(Unw).
Suppose that U and V are subspaces of a vector space W. Then UnV is a subspace of both U and V, and U and V are both subspaces of U +V. Show that (U+ V)/U ~ V/(UnV) Suppose that U and V are subspaces of a vector space W. Then UnV is a subspace of both U and V, and U and V are both subspaces of U +V. Show that (U+ V)/U ~ V/(UnV)
Suppose U and W are subspaces of V. Prove that U+W is a subspace of V.
Find the distance from the vecto to the subspace W = Span{u, v} where 3 -1 | 1 |, and = | 113 11 2 ○ 16 1 옳
Let u = (2,-1,1), v= (0,1,1) and w = (2,1,3). Show that span{u+w, V – w} span{u, v, w} and determine whether or not these spans are actually equal.