Question 3 2 pts The determinant of a matrix is a vector. True O False Question...
True or False 1. If u, v are vectors in R"and lu + v1l = ||||| + ||v||, then u and v are orthogonal. 2. If p locates a point on a line l in Rand if n # 0 is normal to l, then any other point x on I must satisfy n.x=n.p. 3. A binary vector is a vector with two components which are integers modulo 2. 4. The set of solution vectors to the linear system Ax=b...
I need answers for attached questions Question 3. (30 Pts) Let LU is the Crout LU decomposition of the nx n tridiagonal matrix 01. 1012 02.1 222 223 03.2 23,3 43,4 Gr-1,-2 -1,-1 On-1,60 BIL 332/532 - Numerical methods Homework 2 Note that the Crout decomposition implies that the diagonal of U consists of 1s. Besides, ky 0 if j < (i-1) and j>i and wij = 0 ifj<i and j> (i+1) because of the nonzero structure of A. Write...
2. [16 marks) - T (a) Evaluate the determinant of matrix A where: ſi 3 -1 0 2 -4 A= -2 -6 2 3 37 - 38 (b) Solve the following system of equations for 23 only, by using Cramer's Rule: [Again, your answer to part(a) may be helpful!] 21 +3.02 – 23 2x2 - 4.23 - 24 -221 - 602 +213 +324 3.01 + 7.02 – 3x3 +8.04 = 1 = 0 = -2 = 0 (c) Use your...
(33 pts) This question is about the matrix = ſi 2 [3 2 0 4 1 6 3 1] 4 9 co (a) Find a lower triangular L and an upper triangular U so that A = LU. (b) Find the reduced row echelon form R = rref(A). How many independent columns in A? (c) If the vector b is the sum of the four columns of A, write down the complete solution to Ax = b
true or false numarical method rd wneh the correct answer for the following statements: 1 Errors resulting from pressing a wrong button are called blunders 2. Using the bisection method to solve fx)-+5 between x -2 and x 0, there is surely a root between -2 and-1. 3. )Single application of the trapezoidal rule is the most accurate method of numerical integration. 4. Newton-Raphson method is always convergent. 5. ()The graphical method is the most acurate method to solve systems...
linear algebra question easy, please answer fast with steps Mark each statement True or False. Justify each answer. Here A is an mxn matrix. Complete parts (a) through (e) below a. If B is a basis for a subspace H, then each vector in H can be wrben in only one way as a linear combination of the vectors in B. Choose the correct answer below O A. The statement is false. Bases for a subspace H may be linear...
Question 4 2 pts Determine whether the vector u is in the column space of the matrix A and whether it is the null space of A. 1 0 3 1 -2 1 - 4 U = 3 3 0 4 - 1 3 6 Not in Col A in Nul A In Col A, not in Nul A Not in ColA, not in Nul A In Col A and in Nul A Question 5 1 pts 1 co 2...
Question 1 5 pts True or False. The vector field F(x, y) = {xy i + 1x2 j is conservative. True O False
D Question 3 10 pts In a matrix structure, resources report to both hierarchical and Project Managers. O True O False 10 pts uestion4 Which structure allows for participation on multiple projects while maintaining functional responsibilities O Projectized Functional O-Matrix
Write each statement as True or False (a) If an (nx n) matrix A is not invertible then the linear system Ax-O hns infinitely many b) If the number of equations in a linear system exceeds the number of unknowns then the system 10p solutions must be inconsistent ) If each equation in a consistent system is multiplied through by a constant c then all solutions to the new system can be obtained by multiplying the solutions to the original...