-5 -6 0 Determine if the matrix -6 -4 8 is symmetric. 0 -36 Select the...
QUESTION 16 -5-60 Determine if the matrix -6 -4 8 is symmetric. 0 -36] Select the correct choice below. A The matrix is not symmetric because it is not equal to its inverse. OB. The matrix is symmetric because it is equal to its inverse. C. The matrix is symmetric because it is equal to its transpose. D. The matrix is not symmetric because it is not equal to negative of its transpose. O E. The matrix is symmetric because...
Problem 4: Suppose A = (ai)nxn is a symmetric matrix (i.e. the transpose of A agrees with itself) and a11 +0. After we use a11 to eliminate a21, ... , Anl, we obtain a matrix of the following form: (n-1)-matrix. Here c is an (n-1)-dimensional column vector and ct is its transpose, while B is an (n-1) Prove that B is also symmetric.
Find the transpose of the matrix. 8 41 -4 0 2 Select one: 7 8 O B. 0 -4 7 -7 OC. -7 7 8 4 8-4-7 4 0 7 2
9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9 5 9 4 8 2 6 1 3 7 (a) Determine f3121 and explain why your answer is correct. (b) Determine ord(f) (c) Find a permutation p such that p-f 9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9...
(1 Consider the symmetric matrix A = 2 10 2 0 2 2 1. Answer the following questions. 2 3 (1) Find the eigenvalues , , and iz (2 <, <1z) of the matrix A and their corresponding eigenvectors. (2) Find the orthogonal matrix B and its inverse matrix B' that satisfy the following equation: (4 0 0 B-'AB = 0 0 lo o 2) (3) Suppose that the real vectors y and 9 satisfy the following relationship: Show that...
use the graph to find the following : 10- 8- 4- 3 2- х - 10 -8 -6 N- -4-2 -24 4 6 8 10 -4- -6- 10 Use the graph to find the following a) f(2) b) the domain c) any x-values for which f(x) = 3 d) the range f(2)=0 What is the domain? Select the correct choice below and if necessary, fill in the answer box(es) to complete your choice. OA {xxs OB. {x|x> • C. {x\x2D...
Determine if the columns of the matrix form a linearly independent set. 1 2 - 3 8 12 37 -6 38 - 1 -8 Select the correct choice below and fill in the answer box to complete your choice. A. The columns are not linearly independent because the reduced row echelon form of [ A o]is | The columns are linearly independent because the reduced row echelon form of [ A 0 ] is B.
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
The rank of the matrix 4 -8 0 16 6 2 2 0 -2 -10 -2 16 6 16 4. 24 is Select one: O A. 4 O B. 3 O C. 1 O D. 2 O E. None of these answers
1 7 -6 13 Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Then solve the system and write the solution as a vector. A= -2 -5 3 b= -8 ܗ - 4 - 6 -2 Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Select the correct choice below and fill in any answer boxes within...