Find the coordinate vector of A relative to the basis S = {A 1 A2 A3, A4). [O 2 A2 = 0 0 A = Aj = A3 = A4 = 2 2 3 3 (A)s = ( i ). i

Q: find a vector b so that the equation A = b has infinitely many solutions?

A:

Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

A:

Q: (b) The general fact that fcu++eUn]e== c\]j + .. + ca[vn]s allows for rewriting the equation above…

A: It is an important part of statistics. It is widely used.

Q: Find the vector X (in standard coordinates) determined by the given coordinate vector xB and the…

A:

Q: Find the coordinate vector of ?=(3,−7) relative to the basis ?={?1,?2} for ℝ2 if ?1=(1,1),?2=(0,2)

A: 1012 x = 3-71x = 3 and 1x + 2y = -7 Thus we get x = 3 Substitute in second equation, we get 2y = -10…

Q: Find the coordinate vector (v)s relative to the basis S={v,,V2,V3} for v = (2, 1, -2), if V= (2, 2,…

A:

Q: Find the coordinate vector of A relative to the basis S = {A1,A2‚A3,A4}. 3 4 A1 ,A2 ,A3 = ,A4 = ;A =…

A: The given vectors, S=A1, A2, A3, A4A1=1010, A2=1100, A3=1001, A4=0001; A=3436

Q: P, find the change-of-coordinates matrix from the basis In B = {1 – 2t + t², 3 – 5t + 41², 2t + 3t²}…

A:

Q: Find the coordinate vector of P relative to the basis S = {p1.P2,P3} %3D P1 = 1 + x + x*, pP2 = x +…

A: First I have written a short note about coordinate vector of a vector relative to a basis and then…

Q: B = {1+t²,t +t?, 1+2t +t²} is a basis for P2. Find the coordinate vector of p(t) = 1 + 4t +7t²…

A:

Q: Find the coordinate vector [x]B of x relative to the given basis B= {b1, b2} 3 3 b, , b2 - 7

A:

Q: Find the coordinate vector of P relative to the basis S = {P1P2.P3} P1 = 1 +x+x*,P2 = x + x, p3 =…

A:

Q: Find the coordinate vector of p relative to the basis S : {P1, P2, P3} for P2. p = 15 – 21x + 12x²;…

A:

Q: Find the coordinate vector [x]; of x relative to the given basis B = {b1, b2, b3}.

A:

Q: Find the coordinate vector of v relative to the basis S = {v1,v2, V3} for R3. v = (-11,–17, 7) (3,0,…

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 10. 3 11.-5

A: Given vectors are L.D if

Q: Find the vector x determined by the given coordinate vector [x]B and the given basis B. -3 21) B =…

A:

Q: Find all values of the scalar k for which th e two vectors are orthogonal.

A:

Q: Find x in R2 whose coordinate vector relative to the basis B is [x]B =

A:

Q: Find the coordinate vector of v = [2 -7 7] relative to the ordered basis B = ( [1 0 1], [0 1 1], [2…

A: ANSWER:

Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (13, 4, 8); Vi =…

A:

Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

A:

Q: Find the coordinate vector of A relative to the basis S = {A 1. A 2, A 3, A4}. 8 A = 0 2 A3 4 4 A1…

A:

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

Q: Find the coordinate vector (x]g of x relative to the given basis B= (b1, b2, b3}. 5 b1 , b = 5 b3 =…

A:

Q: Find the coordinate vector [x]B of x relative to the given basis B= {b1,b2,b3}. 1 3 2 b, = - 1 b2 =…

A:

Q: Find the coordinate vector of A with respect to the basis = {E22, E21, E 12 E11} of M22

A:

Q: 3 Find the coordinates of y 7 relative to the orthogonal basis Uj = U2 = U3 = -2 -4 10 2 2 4 252

A: The solution is given as

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 11:-5 -2 6.

A: To find the value of h for which the vectors are linearly dependent.

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. b1 = 4, b 2 = |-3…

A:

Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. -4 [x] B% =…

A:

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2} bị -31 X =

A: We are give: B = {b1,b2} where b1 =(-1, 2)T and  b2 =(-3, 5)T Also,  x1 =(-1, 3)T  We need to find x…

Q: Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1);…

A: Here we use basic defnition of change of basis coordinate

Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (-1, –10, 6); v1…

A:

Q: E Let p 8x + 4x + 3. Find the coordinate vector of p relative to the following basis for P2, Pi = 1,…

A: We have to find the coordinate vector of P.

Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

A: Given: u1=4,-4u2=4,4w=0,24

Q: Find the coordinate vector of P relative to the basis S = {p1,p2.P3} P1 = 1 + x + x², P2 = x + x²,…

A: p1=1+x+x2, p2=x+x2, p3=x2; p=3-x+9x2

Q: nd the coordinate vector [x], of x relative to the given basis B = {b,,b2.b3}. 1 3 2 b1 1 b2 = - 1…

A:

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 2 5 B =…

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. [1 11.-5 8 h 6.

A: We have to observe the relation between the vectors.

Q: Consider the vectors cO 1 (2 1 2) (1 1 0) in R3. Find the value of c, for which given vectors are…

A: The given vectors,c01, 212, 110

Q: Find the coordinate vector (v)s relative to the basis S= {v ,,v,,v;} 21 for v = (2, 1, -2), if V=…

A:

Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (11, 3, 8); vị =…

A: Find coordinate vector of v relative to basis S

Q: Find the coordinate vector of P relative to the basis S = {p1.P2.P3} P1 = 1 + x + x², P2 = x + x² ,…

A: p1=1+x+x2p2=x+x2p3=x2p=5-x+7x2

Q: Find the coordinate vector [x]R of the vector x relative to the given basis - 25 b = 5 , b2 = -3 , x…

A:

Q: Find the coordinate vector [x]g of x relative to the given basis B = 5 3 13 H-HCHA b₁ X = -2 -5 [x]…

A: We want to find coordinate vector.

Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (42, 34, 24); Vị…

A: Given

Q: Find the value(s) of h for which the vectors are linearly dependent. 2 3 4 - 7 h 4

A:

Q: Find the vector x determined by the given coordinate vector [x]; and the given basis B. 3 - 3 4 2 B…

A: