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3 0 2 0 The matrix A=11 3 1 0 10 has eigenvalue t. Find a basis for the eigenspace E9) 0 0 0 4
(1 point) Find a basis of the eigenspace associated with the eigenvalue 3 of the matrix 1 0 -4 2 3 4 1 0 5 A= 3 3 C Abasis for this eigenspace is 0 -2 0 0 1
(t point) Find a basis of the eigenspace associated wih he eigenvalue 1 of the matrix 201 2 0 10-1 -100-2 A=
(1 point) Find a basis of the eigenspace associated with the eigenvalue 4 of the matrix 4044 24-2-2 10-1-5 1 01 5
The following matrix has an eigenvalue of 4. Explain how to find a basis for the eigenspace that corresponds to this eigenvalue. 3 -2 -3 -1 3 -3 3 10 0 0 2 2 1 bo
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -1 6 2 16 2 -1 8 (b) Suppose that the vector z is an eigenvector of the matrix A corresponding to the eigenvalue 4. Let n be a positive integer. What is A"r equal to?
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -16 2 1 6 2 -1 8 (b) Suppose that the vector r is an eigenvector of the matrix A corresponding to the eigenvalue 1. Let n be a positive integer. What is A" equal to?
4 2 3 13. Find a basis for the eigenspace of the matrix A1 1- corresponding to the 2 49 eigenvalue -3. [4 points.]
12.3. Eigenspace basis 0.0/10.0 points (graded) The matrix A given below has an eigenvalue = -16. Find a basis of the eigenspace corresponding to this eigenvalue. [-8 0 -81 A= 4 -16 -4 | 4 0 -20] How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the...
Find a basis for each eigenspace and calculate the geometric multiplicity of each eigenvalue. 3 2 The matrix A = 0 2 0 has eigenvalues X1 = 2 and X2 1 2 3 For each eigenvalue di, use the rank-nullity theorem to calculate the geometric multiplicity dim(Ex). Find the eigenvalues of A = 0 0 -1 0 0 geometric multiplicity of each eigenvalue. -7- Calculate the algebraic and
version 2086): Find a basis of the eigenspace associated to the eigenvalue- the matrix 115 4 66'、 160 に314 248 -21 123 11132 -51 168 348 -17, 11th-Ma version 2086): Find a basis of the eigenspace associated to the eigenvalue- the matrix 115 4 66'、 160 に314 248 -21 123 11132 -51 168 348 -17, 11th-Ma