(1 point) Consider the following Gauss-Jordan reduction 1 0 0 200 → -2 0 01-11 00|→ 9 1 01 .10 1 01-1 E1A E2E1A E4E3E2E1A Find E2 as a product AEE E of elementary matrices 2 0 0 Write A as a product A- E EE'Eof elementary matrices 1 2 3 4 91 31
Name (2 pts./pe-) Page 3 8) Consider the partitioned matrix multiplication 03 181 2 100 2 04 00 19-50 01 1-17-214) x -47001 =P 0 0 0 21 13 8 1 21 0 0 01 1 13 0 2 1 r numbers in the lower right corner of the product matrix, P, teleanattabove) are: The dimensions of the product matrix, P, are: 9) Prove that Hint Take the logarithm of both sides to an intelligently chosen base. 10) The code...
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38] 2. For this problem, use matrices A = La ), B=1 _Jandc=lo 9]. Suppose that the matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A. 3. Find a number a so that the vectors v = [3 2 a) and w = [2a -1 3] are orthogonal (perpendicular). 4. For the vector...
AB 00 01 11 10 CD 00 0 0 4 1 12 1 8 1 01 1 1 5 1 13 1 9 1 11 3 1 7 0 15 0 11 0 10 2 0 6 0 14 0 10 1 Simplify F(A, B, C, D) using the zeros of the k-map to get F`, then use De Morgan’s formula to get F in product of sums and select the one that matches it from the following; a-...
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
Note that for the following question you should use technology to do the matrix calculations. Consider a graph with the following adjacency matrix: 0100 0 1 110011 0 01 0 11 00 0 11 1 01 1 10 0 Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions: (a) How many walks of length 2 are there from node 4 to itself? (b) How many walks of length 3 are...
three small problem!!!!! Problem 7: (9 total points) Let A 11 0 -1 2 1 -1 3 -1 0 = 1 | -2 1 4 -13 3 -1 -5 1 -6 a) Find a basis for ker A. b) Find a 5 x 5 matrix M with rank 2 such that AM = 0, where is the 4 x 5 zero matrix. is the 4 x 5 zero matrix. Prove c) Suppose that B is a 5 x 5 matrix...
4 7 5 0 2 2 Problem 7 Let A= -1 2 9 -4 1 5 -1 3 7 3 1 -4 2 0 1 1 0 10 2 a) (4 pts] Using the [V, D] command in MATLAB with rational format, find a diagonal matrix D and a matrix V of maximal rank satisfying the matrix equation A * V = V * D. Is A real-diagonalizable? b) [4 pts) Write down the eigenvalues of A. For each eigenvalue,...
Poole, Section 3.1 5. If A= [1 -2 01 3 2 -1 and B= -2 1 3 [4 -1 | 6 -2 31 5 0 , find: 1 2 ] -12] -1 -5 [ 6 -6 3 (a) 2A+B= 5 9 2 | 2 3 8 [ -15 6 (b) A-4B = 7 -18 1-26 -3 (c) A? (d) (A + B)T [ 6 -12 31 (c) AB = 4 3 7. | 9 12 0 [ -8 -9 11]...
Need answer 11~13,as detailed as possible please and its row echelon form (verify ) is given by 1-3 4-2 5 0 01 3- what is the nullity of A without solving null space? Let p 3+2r+. Find (p)s, the corrdinates of p relative to S. Find the transition matrix P such that [tle = Plula.. Given lula, = (2,3, 1) what is lul? Determine the bases for row space and column space and the rank of the matrix A 11....