Question

Show directly that the matrix A = [1 1 0 1] can not be diagonalized and...

Show directly that the matrix A = [1 1 0 1] can not be diagonalized and explain why the subspace U = {(x, 0) ∈ R 2 } is thus an example of an A-invariant subspace for which there is no complementary A-invariant subspace W so that R 2 = U ⊕ W.

Speak

Homework Answers

Know the answer?
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
Similar Questions
Let A be an mxn matrix. Show that the set of all solutions to the homogeneous...
Let A be an mxn matrix. Show that the set of all solutions to the homogeneous equation Ax=0 is a subspace of R^n and the set of all vectors b such that Ax=b is consistent is a subspace of R^m. Is the set of solutions to a non-homogeneous equation Ax=b a subspace of R^n? Explain why or why not.
Let W = {(x, y, z, w) ∈ R 4 | x − z = 0...
Let W = {(x, y, z, w) ∈ R 4 | x − z = 0 and y + 2z = 0} (a) Find a basis for W. (b) Apply the Gram-Schmidt algorithm to find an orthogonal basis for the subspace (2) U = Span{(1, 0, 1, 0),(1, 1, 0, 0),(0, 1, 0, 1)}.
Matrix A= -2 1 0 2 -3 4 5 -6 7 vector u= 1 2 1...
Matrix A= -2 1 0 2 -3 4 5 -6 7 vector u= 1 2 1 a) Is the vector u in Null(A) Explain in detail why b) Is the vectro u in Col( A) Explain in detail why
Let random variable X ∼ U(0, 1). Let Y = a + bX, where a and...
Let random variable X ∼ U(0, 1). Let Y = a + bX, where a and b are constants. (a) Find the distribution of Y . (b) Find the mean and variance of Y . (c) Find a and b so that Y ∼ U(−1, 1). (d) Explain how to find a function (transformation), r(), so that W = r(X) has an exponential distribution with pdf f(w) = e^ −w, w > 0.
1.Let A be an n x n matrix. Which of these conditions show that A is...
1.Let A be an n x n matrix. Which of these conditions show that A is invertible? •det A= 0 • dim (NulA) = 1 •ColA=R^n •A^T is invertible •an n x n matrix, D, exists where AD=In
Show that there is no matrix with real entries A, such that A^2 = [ 0...
Show that there is no matrix with real entries A, such that A^2 = [ 0 1 0 0 ]. (its a 2x2 matrix)
Consider the following subset: W =(x, y, z) ∈ R^3; z = 2x - y from...
Consider the following subset: W =(x, y, z) ∈ R^3; z = 2x - y from R^3. Of the following statements, only one is true. Which? (1) W is not a subspace of R^3 (2) W is a subspace of R^3 and {(1, 0, 2), (0, 1, −1)} is a base of W (3) W is a subspace of R^3 and {(1, 0, 2), (1, 1, −3)} is a base of W (4) W is a subspace of R^3 and...
1. Let W be the set of all [x y z}^t in R^3 such that xyz...
1. Let W be the set of all [x y z}^t in R^3 such that xyz = 0. Is W a subspace of R^3? 2. Let C^0 (R) denote the space of all continuous real-valued functions f(x) of x in R. Let W be the set of all continuous functions f(x) such that f(1) = 0. Is W a subspace of C^0(R)?
1. A game with two players, Player 1 and Player 2, is represented in the matrix...
1. A game with two players, Player 1 and Player 2, is represented in the matrix below. Player 1 has two possible actions, U, M and D, and Player 2 has three possible actions, L, C and R. Player 2    L C R U 1,0 4,2 7,1 Player 1 M 3,1 4,2 3,0 D 4,3 5,4 0,2 (a) Which of player 1’s actions are best responses when player 2 chooses action R? (b) Which of player 1’s actions are...
2 1 1 1 0 1 1 1 0 These questions have got me confused: 1....
2 1 1 1 0 1 1 1 0 These questions have got me confused: 1. By calculation, I know this matrix has eigenvalue -1, 0, 3 and they are distinct eigenvalues. Can I directly say that this matrix is diagonalizable without calculating the eigenspace and eigenvectors? For all situations, If we get n number of answers from (aλ+b)n , can we directly ensure that the matrix is diagonalizable? 2. My professor uses CA(x)=det(λI-A) but the textbook shows CA(x)=det(λI-A). which...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT