Please write clear in the explanation thanks
Please write clear in the explanation thanks 1 2 0 -1 3 2 1 -1 2 1 oand RREF(A)- 1 3 -1 2 Suppose that A3 21 a. s there a unique solution to Ax-22 Justify your reasoning completely ?Justify your reas...
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Start Typing in MATLAB 1 2 3 Example 1: Let B = | 40 il Type : B = 1 2 3:4 01. Before continuing using MATLAB consider the set of all linear combinations of the row vectors of B. This is a subspace of Rspanned by the vectors rı = [1 2 3] and r2 = ( 4 0 1]. First note that the two vectors r i and r2 are linearly independent (Why?)....
Suppose A is a symmetric 3 by 3 matrix with eigenvalues 0, 1, 2 (a) What properties 4. can be guaranteed for the corresponding unit eigenvectors u, v, w? In terms of u, v, w describe the nullspace, left nullspace, (b) row space, and column space of A (c) Find a vector x that satisfies Ax v +w. Is x unique? Under what conditions on b does Ax = b have a solution? (d) (e) If u, v, w are...
7. Consider the following matrices 2 3-1 0 1 A=101-2 3 0 0 0-1 2 4 2 3 -1 B-101-2 0 0-1 2 3 -1 0 c=101-2 3 For each matrix, determine (a) The rank. (b) The number of free variables in the solution to the homogeneous system of equa- tions (c) A basis for the column space d) A basis for the null space for matrices A and HB e) Dimension of the column space (f) Nullity (g) Does...
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is linearly independent or linearly dependent. i. {u1, 12, 13) ii. {u1, 13, us} iii. {u2, 13} iv. {u1, 12, 13,...
Y13) = re-1+21)22 42(2) = zel-1-21)22 Write the solution yı (2) as a sum of real and imaginary parts, y(I) = u(x) +iv(x), where u(2) and v(r) are real-valued. Based on the information given, are u(I) and v(2) solutions to the differential equation Briefly justify your answer.
Please answer from part a through u
The Fundamental Matrix Spaces: Consider the augmented matrix: 2 -3 -4 -9 -4 -5 6 7 6 -8 4 1 3 -2 -2 9 -5 -11 -17 -16 3 -2 -2 7 14 -7 2 7 8 12 [A[/] = 2 6 | -2 -4 -9 | -3 -3 -1 | -10 8 11 | 11 1 8 / 7 -10 31 -17 with rref R= [100 5 6 0 3 | 4...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11 2 10 0 -8 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? where a € R. Find the value...
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...
Please try to do all parts. Thanks!
ple 2. Find 3. Determine which of the following series converge. Justify your conclusions with the appro -1)" In n (c) Σ dots not 4. Suppose we know that 0 S on S 1/n S an and that 0sn S1/n2 sd for all n. (a) Which of the series Σα", Σ h,De-, and Σ d" definitely converge? Justify your answer. (b) Which of the series Σα", Σ " Σ c", and Σ d"...
how did we get the left null space please use simple
way
6% 0-0, 1:44 AM Fri May 17 , Calc 4 4 Exaimi 3 solutions Math 250B Spring 2019 1. Let A 2 6 5 (a) Find bases for and the dimensions of the four fundamental subspaces. Solution Subtract row onc from row 2, then 8 times row 2 from row 3, then 5 timcs rovw 2 fro row. Finally, divide row1 by 2 to get the row reduced...