Question: Exercise 8 5 4 Take the 2 x 2 matrix A and consider the matrix A XI where A is a variable scalar and I

 Exercise 8 5 4 Take the 2 x 2 matrix A
and consider the matrix A XI where A is a variable scalar

Exercise 8 5 4 Take the 2 x 2 matrix A and consider the matrix A XI where A is a variable scalar and I is the identity matrix Compute det A XI Using the 2 x 2 formula Solve for A when setting this determinant equal to zero Now for each solution solve the equation Ar Ar for x You have just found your first eigen pair We ll talk more about these in a few weeks

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