Do now: write vector equations for • • student response on planes your homework. write • r = a + sb + tc heading "Eigenvalues and lines r = a + tb and eigenvectors" on a new page for each • transforming planes • matrix, estimate two and lines by finding a vectors describing formula for "the typical directions along which point" and multiplying the matrix is just a by the matrix scaling The story so far: how to calculate • determinants and inverses of 33 matrices what swapping rows • (or columns) or adding a multiple of one row (or column) to another does to a determinant
Do now: • write student response on your homework. • write heading "Eigenvalues and eigenvectors" on a new page • for each matrix, estimate two vectors describing directions along which the matrix is just a scaling The story so far: • how to calculate determinants and inverses of 33 matrices • what swapping rows (or columns) or adding a multiple of one row (or column) to another does to a determinant • vector equations for planes r = a + sb + tc and lines r = a + tb • transforming planes and lines by finding a formula for "the typical point" and multiplying by the matrix
170201eigenvalues.docx