Is the number of eigenvalues equal to the order of the matrix (square matrix)!

yes
The polynomial of order n | a - λ e | = 0 has n roots, and the multiple roots are counted by multiplicity

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1. Help use matlab to calculate all eigenvalues of the matrix and the eigenvector corresponding to the maximum eigenvalue 1 1/2 1/3 1 1 2 2 5 2 1 1/2 2 2 1 1 5 3 2 1 2 5 5 3 7 1 1/2 1/2 1 1 3 2 5 1 1/2 1/5 1 1 3 2 4 1/2 1 1/5 1/3 1/3 1 1 3 1/2 1 1/3 1/2 1/2 1 1 3 1/5 1/5 1/7 1/5 1/4 1/3 1/3 1
2. Matlab calculates the maximum eigenvalue of the matrix and the eigenvector corresponding to the maximum eigenvalue 1 1/7 1/3 7 1 1/5 3 5 1
3. Use matlab to calculate the maximum eigenvalue of this matrix and its corresponding eigenvector? 1 2 1 3 2 1/2 1 1/3 2 1 1 3 1 4 2 1/3 1/2 1/4 1 2 1/2 1 2 1/2 1
4. Who can help me use matlab to calculate the maximum eigenvalue of the matrix and the eigenvector corresponding to the maximum eigenvalue, 1 1/7 1/3 7 1 1/5 3 5 1 1 1/3 3 3 1 5 The 1 / 3 1 / 5 1 matrix is like this
5. Please use matlab to calculate the maximum eigenvalue of this matrix and the corresponding eigenvector A= 1 2 3 3 2 1/2 1 2 2 2 1/3 1/2 1 1 2 1/3 1/2 1 1 2 1/2 1/2 1/2 1/2 1
6. Who can help calculate the maximum eigenvalue of the following 21 order matrix Each line element is 1=0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2=1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 3=1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 4=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 5=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 7=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 9=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 10=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 11=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 12=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 13=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 14=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 15=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 16=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 17=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 18=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 19=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 20=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 21=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0
7. If the eigenvalues of matrix A of order 3 are known to be 1, - 1 and 2, then the eigenvalues of matrix A2 + 2E are
8. Given sin2a = 24 / 25, a ∈ (0, π / 2), then cos (a + π / 2) =?
9. In △ ABC, cos (PI / 4 + a) = 5 / 13, then sin2a=
10. If cos (π / 4-A) cos (π / 4 + a) = (√ 2) / 6 (0 < a < π / 2), then sin2a =?
11. Does the multiplicity of matrix eigenvalues in linear algebra refer to the number of repeated occurrences of an eigenvalue?
12. Is the multiplicity of eigenvalues the number of the same eigenvalues in a matrix?
13. A matrix has two identical eigenvalues. How to calculate the eigenvector?
14. Who can help calculate the eigenvalues and eigenvectors of this matrix? The fifth order matrix is as follows. I use matlab to work out why the vector is negative, 1 1/4 1/5 2 1/2 4 1 1/2 5 3 5 2 1 7 4 1/2 1/5 1/7 1 1/3 2 1/3 1/4 3 1
15. Can you help me calculate the eigenvalues and eigenvectors of the matrix now The matrix is: 1 3 1 / 5 1 / 2 1 / 6 1 1/3 1 1/4 2 1/3 2 5 4 1 1 1/3 2 2 1/2 1 1 1/5 2 6 3 3 5 1 4 1 1/2 1/2 1/2 1/4 1
16. Factorization: y ^ n-y ^ (n-2), (n is an integer and N is greater than 2)
17. Decomposition factor (x + y) to the power of M + 1 - (x + y) to the power of M-1 (integers with m greater than 1)
18. Decomposition factor: M + 1 power of (x + y) minus M-1 power of (x + y), M is an integer greater than 1
19. Only the percentage sign of 1.12.5% is removed. This number () a is expanded by 10 times B and reduced by 100 times C. the size remains unchanged and cannot be judged
20. 13.6% without the percent sign, this number is expanded or reduced