Let A be the nx n matrix as listed below 1 1 1 1 1 3...

Question

Question

Answer 1

Similar Homework Help Questions

Let A be an nx n matrix. Select all of the following that are equivalent to...

Let A be an nx n matrix. Select all of the following that are equivalent to the statement: A is invertible. The homogeneous equation Ax-0 has a nontrivial solution. The echelon form of A has a pivot in every row and every column. The columns of A are linearly dependent For any vector b in R", Ax-b has a unique solution. The linear transformation x Ax is 1-1 and onto. A is nonsingular.
Please answer this using matrices quick thanks 1. Let A be a 3 x 3 matrix...

Please answer this using matrices quick thanks 1. Let A be a 3 x 3 matrix with det (A) 4, and suppose the matrix B is obtained from A by performing the following elementary row/column operations to A: -a Ra+ Rs For what value(s) of a does det(B)-6?
MATLAB QUESTION !!! PLEASE USE MATLAB FOR BOTH QUESTIONS!!! THANKS 3) Below is a matrix of...

MATLAB QUESTION !!! PLEASE USE MATLAB FOR BOTH QUESTIONS!!! THANKS 3) Below is a matrix of random numbers. Find the mean, median, and mode of the matrix. B=[0 1 2 3 4 50689 23092 6 8 407] Sort Matrix Z so that the largest numbers of each row are in the first column and smallest numbers descend towards the last column. Must use sort function. 4) Create a matrix X so that the first row has values from 0 to...

Prove the following lemma. Let B be an n ✕ n matrix and let E be...

Prove the following lemma. Let B be an n ✕ n matrix and let E be an n ✕ n elementary matrix. Then det(EB) = det(E) det(B) 1. Write the proof and submit as a free response. (Submit a file with a maximum size of 1 MB.) 2. Which of the following could begin a direct proof of the statement? If E interchanges two rows, then det(E) = 1 by Theorem 4.4. Also, EB is the same as B but...
please help to answer below questions. Multiple answers can also be possible. D Question 4 1 pts Let B-|b, b...

please help to answer below questions. Multiple answers can also be possible. D Question 4 1 pts Let B-|b, b2 br 1 b br+1 -br) be a non-singular matrix. If column br is replaced by a' and that the resulting matrix is called Ba along with a-Σ-1 yibi. then state the necessary and suffcient condition for Ba to be non-singular. One of y i not necessarilyy.s, is zero is sufficient y ris non-zero is necessary ■ yr is non-zero is...
Review 4: question 1 Let A be an n x n matrix. Which of the below...

Review 4: question 1 Let A be an n x n matrix. Which of the below is not true? A. A scalar 2 is an eigenvalue of A if and only if (A - 11) is not invertible. B. A non-zero vector x is an eigenvector corresponding to an eigenvalue if and only if x is a solution of the matrix equation (A-11)x= 0. C. To find all eigenvalues of A, we solve the characteristic equation det(A-2) = 0. D)....

13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3...

13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If...

(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If the matrix B is obtained from mes the second row to the first, then det(B) = 2. If the matrix C is obtained from A by swapping the first and second rows , then det(C) = 3. If the matrix D is obtained from A by multiplying the first row by 5, then det(D) =
1 0 -7 3 Let A= 03 -4 and b= Denote the columns of A by...

1 0 -7 3 Let A= 03 -4 and b= Denote the columns of A by a, a, ay, and let W = Span{a,,a,,a3} -26 2 3 a. Is b in {a,,a,,az)? How many vectors are in {a,az.az)? b. Is b in W? How many vectors are in W? c. Show that az is in W. (Hint: Row operations are unnecessary.] a. Is b in {a,,a,,az)? Ο Νο Yes How many vectors are in {a,,a,a}? O A. Two OB. Infinitely...

1 2 Suppose that the non-singular n × n matrix A can be diagonalized, ie A...

1 2 Suppose that the non-singular n × n matrix A can be diagonalized, ie A = PDP-1 where D is a diagonal matrix. Show that A-1 and AT can be diagonalized. 1.e. Suppose we have 2nu x 2n block matrices Y=I-I B O AB where all sub-matrices are n × n and O denotes the zero matrix. Find a block matrix X such that XY the determinant of X? Z and demonstrate it works. What is