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Worksheet: The Rayleigh Principle for Finding Eigenvalues

In this worksheet, we will practice finding an upper bound for the difference between the Rayleigh quotient principle and an eigenvalue of a matrix.

Q1:

Consider the matrix and the vector . Find an upper bound for the difference between the Rayleigh quotient and an eigenvalue of .

A
B
C
D
E

Q2:

Consider the matrix and the vector . Find an upper bound for the difference between the Rayleigh quotient and an eigenvalue of .

A10
B7
C
D
E