Problem in any answer then comment below... I will explain you.
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for this , we put these vectors as a column vectors of a matrix ..and then find the rank ... Accoridng to rank we determine H ..
1... Rank of matrix is 2..
H is plane ...
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2. Rank of matrix is 1..
H is line ..
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3. Rank of matrix is 3...
H is R^3 .....
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of...
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. Then H and K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. w= _______
please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
7. [4] Let S be the set of vectors in R4 (S [v,, v2,v3, v, v5)) where, v4 (-3,3,-9.-6) s (3, 9,7,-6) Find a subset of S that is a basis for the span(S).
Let v1,v2,v3 and v4 be linearly independent vectors in R4. Determine whether each set of vectors is linearly independent or dependent. Please solve d) and f) U1, 2, 03, 4
1. Determine whether the given vectors span R3 v - (5,5,5), v2 (0, 0,-1), v3 (0,-1,-1)
15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2 = 3 ; V3 = 1] ; V4 = -1;V5 = 4 1 2 3 = a) Are V1, V2, V3, V4, V5 linearly independent? Explain. b) Let H (V1, V2, V3, V4, V5) be a 3 x 5 matrix, find (i) a basis of N(H) (ii) a basis of R(H) (iii) a basis of C(H) (iv) the rank of H (v) the nullity...
2. Consider the vectors -11 -11] 31, ; [-9] 13 -2. V2 = V = 14 -51 3 V3 = 3 [-14] -12 16 16 V4 = ' Vs = (a) Find a subset of {v1, V2, V3, V4, Vs} that is linearly independent and contains as many vectors as possible. (b) Prove that your answer to (a) indeed gives a maximal independent subset by showing that your subset has the same span as the original set of vectors {V1,...
(1 point) For the circuit below, V1 = 13 V, V2 = 8 V, V3 = -2 V. L1 = 22 mH, L2 = 18 mH, L3 = 46 mH. R1 = 22 12, R2 = 26 12, R3 = 25 12, R4 = 8 12, R5 = 47 12, R6 = 22 12, Find (a) i1, (b) i2, (C) v. 1+ RG V2 min to-rööviz w ell + V3 Zamo 2013 Paul Hummel BY NC SA (A) 11 =...
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...