a 0 а 0 is A diagonalizable? You must explain 7) If A is a matrix of the form o 2 why or no credit. 0 a
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
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
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.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.
A scalar matrix is simply a matrix of the form XI, where I is the nxn identity matrix. (a) Prove that if A is similar 1 to \I, then in fact A= \I. (b) Show that a diagonalizable matrix having only one eigenvalue is a scalar matrix. 1 100 100 (c) Prove that o 100 is not diagonalizable. 0 0 1 1
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),...
Determine if the matrix is in row-echelon form. 1 -7 -7 1 3 0 1 0 -3 0 0 2 -1 O A) Yes OB) No
(1 point) Let -9 -1 10 A = -4 2 -7 -1 If possible, find an invertible matrix P so that D = P-AP is a diagonal matrix. If it is not possible, enter the identity matrix for Pand the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P = D = Is A diagonalizable over R? diagonalizable Be sure you can explain why or why not.