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![Let vi =
4 ,v2 =
-7|, v3 =| 3
Does (v, v2 v) span R?
O a. Yes, (V, V, V3) span R
Ob Cannot be determined
Oc No, the vectors (v, V, vi] do not span R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e80d18a-3d7b-4c77-b469-82c85a9696e4%2Ff852280c-e746-4e59-92fd-7d3c598ae576%2F0rctvcd_processed.jpeg&w=3840&q=75)
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- Given a vector x=[12 3 4 5 . ], take the square of each element and sum them up. What should be the dimension of the vector x so that the squared sum (as above) is as close as possible to 1000 but not more than 1000? ....Let V₁ a) show that none of vectors V₁, V₂, and V3 can be written as a linear AME combination of the other two, i.e., show that the only linear combination which gives the zero vector ₁V₁ C₂V₂ + C3V3 = 0 is where, C₁ C2 C3 = 0. b)) show that each of vectors V₁, V2, V3, and V can be written as a linear combination of the other three, i.e., find the constants c₁, c2 and c3 in the linear combination G₂ V₁ + G₂V₂ + 3V3 = V₁ such that not all c, are zeros. V4Perform the following vector multiplication of two vectors and find the y-component of the resulting vector, c. č = à xb ā = [ax ay az] b = [b, by b;] where ax = 5, ay = 5, az = 5 and by = 9, by = -7, b, = -8. %3D Your Answer:
- use my ID : 201909010 SOLVE ALL BY matlab Consider the graphs of the functions f(x) = m - 1x and g(x) = 2x² — n where m and n are the maximum and mean values of the digits in your student-ID number. a) Create a vector v whose elements are the digits of your student-ID number. b) Create a variable m and assign the maximum digit in v to it. Create a variable n and assign the mean value of the digits in v to it. d) Define the function f(x) and g(x) above as anonymous functions. Plot the graphs of f(x) and g(x) on the same figure using the MATLAB function ezplot. f) Find the exact values of the x-coordinates of the intersection points between the two graphs using the MATLAB function solve. g) Find the area bounded by the two graphs.Create a 3-by-3 matrix. A = [1 7 3; 2 9 12; 5 22 7]; Calculate the right eigenvectors, V, the eigenvalues, D, and the left eigenvectors, W. [V,D,W] eig(A) %3!Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B
- By us ing Octave I anguage 3. VECTOR AND MATRIX (a) Construct a vectorvsuch thatv(n)=15e−ncos(0.125πn)n=0,1,2,3,…,20(b) Generate a5×5matrixMwith elementsM(x,y)=x2yx=1to 5 You can only use one line to complete the task.H.W2 Minimize the following function using K-Maps: F (A, B, C, D) = Σ m (1, 5, 6, 12, 13, 14) + d (2, 4).Q2/ A- Build column vector elements from a (3x1) ? B- Prove that the theory of (A x A) is eye(3), if A was (10-3;2 -2 1;0 -1 3]
- 8. Determine whether the set W = {(a1,a2) E R²| 3a1 - 5az = 12} is a subspace of the vector space R. %3! of the vector space R.Let y = ," 4] and u = [n - п Write y as sum of two orthogonal vectors, one is In- Span{u} and one orthogonal to u. where n=9Suppose a computer program needs to apply an affine transformation to a complex three-dimensional object made up of 3000 points. The transformation is composed of 8 matrices (call them M1 through M3), so for each point (x, y, z) in the object, the following operation is performed. |-|-|-|-|| y M1 M2 M3 M7 M8 Each multiplication of a matrix times a column vector involves 16 multiplications (of one number by another) and 12 additions, for a total of 28 arithmetic operations. Each multiplication of a matrix times another matrix involves 64 multiplications and 48 additions, for a total of 112 arithmetic operations. (These numbers are not made up or chosen randomly; they are facts about 4 x 4 matrix multiplication.) The most inefficient way of applying the transformation to the 3000 points would be to begin on the left, multiplying M1 by M2, then that result by M3, and so on along the list from left to right, and doing the same 8 multiplications again for each of the 3000 points. How many…