Find the dimension of the subspace H of R2 spanned by the vectors s[-s} [13] [13]
Find dimension of the subspace spanned by and / 0 1 ООО
Question 6 10 pts What is the dimension of the subspace of M22 (R) spanned by the set of 4 vectors şfi 01.1 110 1111 -21} IO 1]'1 0 LO 11-1 1 JS
5. Suppose that S is the subspace in R3 spanned by the two vectors aj = 1 , a2 = 0 . (a) Find the projection matrix P onto S. (b) Find the projection p of b onto S where ſi b= -1 (c) If b is in S then what is Pb? (d) If b is in St then what is Pb?
(3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A- (3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A-
uiaL1 Wi and S : R2 → R2 projects vectors onto the z-axis. 2 0 20. (6 points) Let H= AEM2x2 : (a) Given that H is a subspace, find a basis for it. (b) What is the dimension of H? (c) Can:] be written as a linear combination of your basis vectors? Justify. OT
Let W be the subspace of R3 spanned by the vectors ⎡⎣⎢113⎤⎦⎥ and ⎡⎣⎢4615⎤⎦⎥. Find the projection matrix P that projects vectors in R3 onto W.
Let W be the subspace spanned by the given vectors. Find a basis for Wt, 0 1 A. W1 = W2 = 3 2 -1 2 B. W W2 2 -3 W3 = 6
Find a basis for the subspace of R3 spanned by S. S = {(4, 4, 9), (1, 1, 3), (1, 1, 1)} STEP 1: Find the reduced row-echelon form of the matrix whose rows are the vectors in S. 1 0 0 1 0 0 0 x STEP 2: Determine a basis that spans S. 35E
Find the dimension of the subspace of all vectors in RT whose seventh and ninth entries are equal The dimension is 8 (Type a whole number.)
Question: Find the dimension of the subspace of Rspanned by the following set of vectors. {I:00