EIGENVALUES & EIGENVECTORS
https://www.math.drexel.edu/~jwd25/LA_FALL_06/lectures/lecture7A.htmlEIGENVALUES & EIGENVECTORS . Definition: An eigenvector of an n x n matrix, "A", is a nonzero vector, , such that for some scalar, l.. Definition: A scalar, l, is called an eigenvalue of "A" if there is a non-trivial solution, , of .. The equation quite clearly shows that eigenvectors of "A" are those vectors that "A" only stretches or compresses, but doesn't affect their directions.
Mathematics Department - Welcome
sites.math.rutgers.edu › ~greenfie › vnxFind the eigenvalues and bases for each eigenspace. An answer is here. Example 4 Suppose A is this 3x3 matrix: [1 1 0] [0 2 0] [0 –1 2]. Find the eigenvalues and bases for each eigenspace. An answer is here. Example 5 Suppose A is this 3x3 matrix: [ 0 0 2] [–3 1 6] [ 0 0 1]. Find the eigenvalues and bases for each eigenspace. An answer is here.