3 0 1 -1] -3 X= -4 -4 1 x(0) 1 1 -2 5 -1 2 16 3.

Q: 2. How many vectors does any basis of of Max(a+2)(R) contain, if a = max1<i<10 a;?

A: Since, dimension of a vector space is equal to number of elements in basis of vector space.

Q: Assume that 0 < a < 1 and 0 < b < 1. Find the stable vector of P 1 - b ]

A: Let w= [x y ] is a stable vector of the given matrix.  So, the equations to solve are:

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

A:

Q: Find the stable vector of 1 1 1 P = 2 1 3 3

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Q: 2.Show that the following Vectors form a Wasis for Ps. 4.ct-11,(t-1,(t-1)?

A: Given that the vectors are 1,t-1,t-12,t-13.It is required to show that the following vectors form a…

Q: 1. Consider the vectors 1//3 n= -1//3 1//3 V=- 2 (n) and develop 2.

A: As per Bartleby guidelines, for more than one questions asked, only first is to be answered. Please…

Q: - Consider trying to solve Ar= b where 2 3 -1 (a) Find a vector b so that Ar b has no solution. (b)…

A:

Q: 5. Show that the vectors a = 3i- j+4k, b = i- 3j – 2k and c = 4i – 3j+2k are linearly independent.…

A:

Q: Are the following sets of vectors linearly independent? Show the details of your work. [3 4 0 1], [2…

A:

Q: Construct the vector 0.8 b+1.4 a having initial point P.

A:

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

A:

Q: Consider the following set of four vectors {a1,. ,as} and the vector b. a = |2 az = 0 and b = 1.…

A: Given a1=121 , a2=-110 , a3=301 , a4=1-4-1 , b=4-11 2. The system of equations x1a1+x2a2+x3a3=b i.e.…

Q: 2 7 Consider the vectors: u = 1 v = -1 w = -2 2 Express W as a linear combination au + bv. What is…

A: follow next step

Q: A. Calculate the first two vectors generated by the Jacobi method. -4 1 (-6) 1 3 -1 x ={-6 x(0) =…

A: To find- Calculate the first two vectors generated by the Jacobi method. -41013-10-15x = -6-67, x0 =…

Q: 1 -1 6.5 [0] -2 10 7 3 x = 1 -4 10 -2 | 12.5] 3 3 10

A:

Q: For the following three vectors, what is 2. Ć ·(3 Á × B )? В = 3.00î + 3.00ĵ – 4.00k B = - 3.00î +…

A:

Q: S/3 tan x, + 3cotg x, =8 2 tan x,- 30 tan x1/3 cotg x V3 45 60 90 8 cotg x, = -2/5 Of vectors in the…

A:

Q: 12 2 Determine if the pair of vectors v₁ = 3 V₂ = =-3 are orthogonal. -5 3

A: We have to find whether the given two vectors are orthogonal or not?

Q: 27. Given the vectors a and b, where a = 21 – 2j + 2k and b = 3i – j + 2k are coplanar vectors, a x…

A: Given vectors are a=2i-2j+2k and b=3i-j+2k are coplanar vectors. To find: a×b Solution: We have…

Q: Find the stable vector of 1 1 2 1 P =| 0 3 4 1 4

A: For the given probability matrix let the three states be A, B, C Let, X=xyz, the stable…

Q: 2. Consider the vectors in En : e, = (1; 0; 0); ez = (0; 1; 0); ez = (1; 0; 0); Write down the…

A: Solution :-  the given vecots are e1 = ( 1; 0; 0 )  , e2 =  ( 0; 1; 0 )  , e3 = ( 0; 0; 1 )  and  (…

Q: Assume that 0 < a < 1 and 0 < b < 1. Find the stable vector - [';" - a 1 - ] a P = b

A: From the given information, P=1-aab1-b Let, stable vector as, w=xy

Q: Find the general solution to the following vector DE. 1 æ[t) = | -2 1

A:

Q: 2 1 Find Q for the QR factorization of A = 0 -39 . given the orthogonal vectors -3 -13 -2 2 -6…

A: Given: A=2010-390-3-13-2 Also the orthogonal vectors are  v1=20-3, v2=-6-39-4, v3=-0.220.05-0.15

Q: 2. (а) Find all unit vectors orthogonal to both u = 2i – 3j + k, v = -3i + 3j + 2k If a, b, and c +…

A: In the question it is provided two vectors: u=2i-3j+k and v=-3i+3j+2k The objective is to find all…

Q: to = [0 3 4 2]" v = [1 1 2 1]"

A: Handwriting solution.  { v0, v1, e1, e4} forms a basis for R4.

Q: Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If…

A:

Q: 3 6. Work Problem 3 (- - ): V1 0 , v2 = 0 |2 vectors from 2 R³. (a) [ independent (b) . {U1, U2, V3…

A: We know that two vector u and v are linearly dependent if and only if one is a scalar multiple of…

Q: Consider the vectors in R2 3 2 (3) Express as a linear combination of the vectors Select one:…

A: Here we have to find the linear combination.

Q: B. Calculate the first two vectors generated by the Gauss-Seidel method. 1 1 -2] 1 10 4 x={ 15 x(0)…

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 of Prelative to the basis S= {P1P2P3} P1 = 1+x +x², p2 = x +x, p3 = x:p =…

A: Given: p=6-x-9x2p1=1+x+x2p2=x+x2p3=x2

Q: If Q is an n × n orthogonal matrix and x and y are nonzero vectors in Rn, then how does the angle…

A:

Q: First change the given pattern into a vector w of zeros and ones by turning each shaded square into…

A: Consider the given: w=010011011

Q: - 3 7 1 h of h which makes the vectors linearly depe ma to separate answers as needed.)

A:

Q: 19) (Section 9.7) Find a unit vector orthogonal to both vectors u = 2i + 5 j –k v=i+3j-2k %3D…

A: We know that the cross product yields the vector orthogonal to both vectors .Here…

Q: 2 Consider A = -2 null(A). 4 2 2 4 -4 -2 -2 -4 -2 0 1 Give a set of vectors that spans each of im(A)…

A:

Q: Which of the following vectors are linearly independent? (2) (0) 21

A:

Q: Find the best approximation to z by vectors of the form C1V1+C2V2 2 5 4 z= -2 V2= -1 2 a. (15/21, 0,…

A:

Q: Construct the vector 1.4 b+1.7 a having initial point P.

A:

Q: 5. Show that the vectors a = 3i-j+ 4k, b =i-3j–2k and e = 4i– 3j+2k are linearly independent. Find…

A:

Q: Find the stable vector of P = 2 2 2 3 -|3

A: Let stable vector is w= [x  y  z ] So, So, equations to solve

Q: If U and V are 2 x 1 orthonormal vectors and A = UVT then the trace of A is equal to а. О b. 2 с. -1…

A: We have to find Trace of the Matrix.

Q: Find the best approximation to z by vectors of the form cv1 + ¢2V2. 3 1 -7 -1 1 V1 V2 -3 3

A: To find  The best approximation to z by vectors of the form c1v1+c2v2.

Q: 7. Show that 3-{(; ) ( ) ( )} -1 2 S = 2 1 6 9 is linearly dependent in M22. Write one of the…

A: According to our guidelines I solve only 1 question, so kindly request you to repost the remaining…

Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: [1 Let A =0 3 -2 [1 7 4 2 For any vector b, find the complete solution Ax=b.

A:

Q: Calculate the first two vectors generated by the Gauss-Seidel method.

A: Gauss Seidle method

Q: (S.15). Let u1 =(-1,1,3), u2 = (2,1, –3), uz Find expansion of the vector v = (-3, 2, 4) via vectors…

A:

Q: 4. For which value of k the vector u = -2 is a linear combination of the vectors 3 3 V1 = 0 and vz =…

A: