
a 0 а 0 is A diagonalizable? You must explain 7) If A is a matrix...
a 0 0 0 a is A diagonalizable? You must explain 7) If A is a matrix of the form o 2 why or no credit. 0 a
0 0 7) If A is a matrix of the form (o a 0), is A diagonalizable? You must explain 20 a why or no credit
DETAILS LARLINALG8 7.R.019. Explain why the matrix is not diagonalizable. 200 A= 1 2 0 0 0 2 A is not diagonalizable because it only has one distinct eigenvalue. A is not diagonalizable because it only has two distinct eigenvalues. A is not diagonalizable because it only has one linearly independent eigenvector. A is not diagonalizable because it only has two linearly independent eigenvectors.
linear algebra
Explain why the matrix is not diagonalizable. A= 8 0 0 1 8 0 0 0 8 O A is not diagonalizable because it only has one distinct eigenvalue. O A is not diagonalizable because it only has two distinct eigenvalues. O A is not diagonalizable because it only has one linearly independent eigenvector. O A is not diagonalizable because it only has two linearly independent eigenvectors.
Explain why the matrix is not diagonalizable. 600] A = 1 60 0 0 6 O A is not diagonalizable because it only has one distinct eigenvalue. O A is not diagonalizable because it only has two distinct eigenvalues. O A is not diagonalizable because it only has one linearly independent eigenvector. A is not diagonalizable because it only has two linearly independent eigenvectors
21 22 23 24 If the matrix Al is diagonalizable, then the matrix A must be diagonalizable as well. The determinant of a matrix is the product of its eigenvalues, counted with their algebraic multiplicities. All lower triangular matrices are diagonalizable. If two nxn matrices A and B are diagonalizable, then AB must be diagonalizable as well. If an invertible matrix is diagonalizable, then A-1 must be diagonalizable as well. 25
Suppose A is a 3 by 3 matrix. Decide if the matrix is diagonalizable given the following information: A has two distinct eigenvalues 11, 12 whose eigenspaces are a line and a plane, respectively. Not diagonalizable Not enough information O Diagonalizable Question 14 6 pts READ FIRST: Fill in the blanks. ADDITIONALLY, on you scanned work, show how you arrive at your answers. (Your answer must match your work or you will receive no credit.) The set S= {(1,-1,3), (-3,4,9),...
2. Consider the matrix 11 2 4 0 0 -1 1 7 0 0 0 6 10 007) Is this matrix diagonalizable? Explain why or why not. 3. Consider the matrix /1 a b 5 0 1 C 3 A = 0 0 1 2 0 0 0 2 For which values of a, b, c E R is A diagonalizable? Justify your answer.
DETAILS LARLINALG8 7.2.050. Show that the matrix is not diagonalizable. [ ] : 0 The matrix is not diagonalizable because it only has one linearly independent eigenvector. The matrix is not diagonalizable because it only has one distinct eigenvalue. The matrix is not diagonalizable because [*] is not an eigenvector. The matrix is not diagonalizable because k is not an eigenvalue.
Determine whether A is diagonalizable. If A is not diagonalizable, explain why nit. If A is diagonalizable, find an invertible matrix P and a diagonal matrix D such that P'AP=D