Identifying Eigenvalues
What is it called when a matrix has 2 of the same eigenvalues?
What is an Algebraic Multiplicity of 2.
{u*v}/{u*u}u
What is the projection of v onto u.
λ2+11λ +24 = 0
What are 3 and 8?
[1 0
0 1]
What is an identity matrix?
The number of Rocky Movies.
What is 9
What criteria must be fulfilled for a matrix to be diagonalizable?
What is algebraic multiplicities must equal geometric multiplicities.
ad-bc
What is the determinant of a 2X2 matrix.
A = [2 0 0
0 4 0
0 0 5]
What are 2, 4, and 5?
[1 2 2
0 5 5
0 0 6]
What is an upper triangular matrix?
The number of Star Wars movies
What is 12.
5 and -2 are the eigenvalues of A, these are the eigenvalues of A3
What are 125 and -8.
det(A-lambdaI)
What is the characterisctic polynomial.
Find the eigenvalues for the following:
[-2 0 1
1 1 0
0 0 -2]
What are -2 and 1?
[1 0 0
0 3 0
0 0 4]
What is a diagonal matrix?
(Will also accept what is a symmetric matrix)
What is 5
The number of possible eigenvalues for a 5 X 7 matrix.
What is none.
u*v=0
Solve for the eigenvalues:
[3 9
−4 −3]
What are ± 3 sqrt(3i) ?
Matrix with the property AT = - A
What is a skew symmetric matrix?
What is 33
The eignvalues of a triangular matrix
What are the same values as the diagonal?
Using the top row
The determinant of
[[a,b,c],[d,e,f],[g,h,i]]
What is
a(ei-fh)-b(di-fg)+c(dh-eg)
Find the eigenvalues:
[5 2 0
2 5 0
-3 4 6]
What are 3,6, and 7?
[1 2 3
2 4 5
3 6 8 ]
What is a square matrix?
The number of James Bond Movies
What is 27