Changing basis in order to diagonalize a matrix
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Suppose that the matrix A is a linear operator on R(2) represented in the standard basis {i,j}, by the matrix
mat(A)= [-1 3;2 4].
Find a new basis in which A is diagonalized.
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Solution Summary
A step-by-step solution is provided which illustrates how to change basis while diagonalizing a matrix. A 2x2 matrix is used as an example
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See attachment for a step-by-step solution using a 2x2 matrix as an example used to illustrate the process.
Diagonalize A
So, the first step in solving this problem is to solve the mini- problem of det(A-lamda*I)=0
This will yield the eigenvalues of A.
Next, we need to find the eigenvectors ...
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