Question

Let Bernxn be a nonzero matrix. Which of the following MATLAB statements generates a symmetric matrix? There may be multiple

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Option 1 and 4 are correct

Symmetric matrix is the matrix which is equal to its transpose matrix

For example

= [ 3 * ا So BB! CC: له 34 38 ۳۱۹ 3+ 8 ۹te ی ۱۱ ( گو

So we got symmetric matrix hence option is correct.

treul trill (B10),-1) 4 5 6 a 8 9 and below the test fall (B11) display the matua super diagonal 2 let A bilo 4 C ។ biul B, 4

Therefore second option is not correct

B-39 - 6 ]- 2 2 (

this is not symmetric so 3 option is not correct

واحدها و نهادئه 11 date) ره وه ئاههثه -12 6 d ا = [4] [3] [2] [4]

Result is symmetric matrix hence 4 option is correct

Add a comment
Know the answer?
Add Answer to:
Let Bernxn be a nonzero matrix. Which of the following MATLAB statements generates a symmetric matrix?...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 5. Recall that a symmetric matrix A is positive definite (SPD for short) if and only...

    5. Recall that a symmetric matrix A is positive definite (SPD for short) if and only if T Ar > O for every nonzero vector 2. 5a. Find a 2-by-2 matrix A that (1) is symmetric, (2) is not singular, and (3) has all its elements greater than zero, but (1) is not SPD. Show a nonzero vector such that zAx < 0. 5b. Let B be a nonsingular matrix, of any size, not necessarily symmetric. Prove that the matrix...

  • [3 marks] Consider the following statements (1) If AT A is a symmetric matrix, then A...

    [3 marks] Consider the following statements (1) If AT A is a symmetric matrix, then A must be a square matrix. (ii) If A is nx n then A'(A ) - 1. (iii) If A is an nxn matrix, then tr(CA) - ctr(A). Determine which of the above statements are True (1) or False (2) So, for example, if you think that the answers, in the above order, are True False False, then you would enter "1.2.2' into the answer...

  • True or False? (a) An n x n matrix that is diagonalizable must be symmetric. (b)...

    True or False? (a) An n x n matrix that is diagonalizable must be symmetric. (b) If AT = A and if vectors u and v satisfy Au = 3u and Av = 40, then u: v=0. (c) An n x n symmetric matrix has n distinct real eigenvalues. (d) For a nonzero v in R", the matrix vv7 is a rank-1 matrix.

  • Need help with linear algebra problem! Let S be a symmetric, 2 x 2 matrix. Let û1) and ût2) be orthogonal eigenvectors o...

    Need help with linear algebra problem! Let S be a symmetric, 2 x 2 matrix. Let û1) and ût2) be orthogonal eigenvectors of S with corresponding nonzero eigenvalues A1 and X2. Show that if v E R2 is a vector such that û1)Su = 0, then 5 = Bû(2) for some B 0. Let S be a symmetric, 2 x 2 matrix. Let û1) and ût2) be orthogonal eigenvectors of S with corresponding nonzero eigenvalues A1 and X2. Show that...

  • Let A-(Aij)i iJSn є {0,1)"xn denote the symmetric adjacency matrix of an undi- rected graph. For iメj, we have Aij = 1 if entity i and j are connected in a network and 0 otherwise: A 0, i-1,...,...

    Let A-(Aij)i iJSn є {0,1)"xn denote the symmetric adjacency matrix of an undi- rected graph. For iメj, we have Aij = 1 if entity i and j are connected in a network and 0 otherwise: A 0, i-1,..., n. The stochastic block model (SBM) postulates where is a full rank symmetric K x K connectivity matrix with entries in [0, 1]. a) Consider the matrix P-M MT, where M {0,1)"xK denotes the community k-1,... , K. Show that under (1),...

  • estion 3 Let A be an n x n symmetric matrix. Then, which of the following...

    estion 3 Let A be an n x n symmetric matrix. Then, which of the following is not true? a) A is diagonalizable. b) If I is an eigenvalue of A with multiplicity k, then the eigenspace of has dimension k c) Some eigenvalues of A can be complex. d) All eigenvalues of A are real.

  • SVD a) Let A E RX be an invertible matrix and i ER" be a nonzero...

    SVD a) Let A E RX be an invertible matrix and i ER" be a nonzero vector. Prove that ||A7|| 2 min ||- b) Let A € R2X2 and 1 = plot of|ly|| vse. 2,17|| = 1. Now let y = Až. Below is the (cos(O)" A has the SVDUEVT. Either specify what the matrices U, 2, and V are; or state they they cannot be determined from the information given. c) Let A E RNXN,B E RNXN be full...

  • Q22. Let A be an n x n symmetric matrix (so AT-A). Let a and b...

    Q22. Let A be an n x n symmetric matrix (so AT-A). Let a and b be different eigenvalues of A, and let u and be eigenvectors for a and b, so Au au and 2y 2) Prove that u and g are orthogonal to each other. Hint. (Start with the expres- sion (Au,), and try simplifying it in a couple of different ways.)

  • (MATLAB): Suppose that you are given a positive definite symmetric matrix A, a vector b, and...

    (MATLAB): Suppose that you are given a positive definite symmetric matrix A, a vector b, and a real number c. Write MATLAB code which finds the minimum of the function f() r A bc subject to the constraint rT =1 for some vector r and real number . Note: This is a Lagrange Multi pliers problem It turns out that the Lagrange multiplier algebra is simply matrix algebra, which you can easily do in MATLAB. It may be a In...

  • Let A be a 2 x 2 matrix with an eigenvalue equal to 1 and no...

    Let A be a 2 x 2 matrix with an eigenvalue equal to 1 and no other eigenvalues. Which of the following is necessarily true? a. A is symmetric. b. A is positive-definite. C. A is diagonalizable. d. A is invertible. e. Any of the above statements may be false.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT