Let ,\ be an eigenvadie of a matrix A with corresponding eigenvector x. If k is a scalar, show that ,\ - k is an eigenvalue of A - kl and that x is a corresponding eigenvector.

2/5/18 Lecture Monday, February 512:05 PM Challenge: x + y 42 x 2 + 4x 6y 8z = 13, is what surface Draw it! Quadric Surfaces Def. 2 3 What surface is described by z = y in R 3 Def. A cylinder S is a surface in R is made of all lines, called the ruling of S, that are parallel to a given line l, and pass through points on a given plane C. So our curve z = y is a parabolic cylinder. (normally taught cylinders are circular cylinders) 3 Quadratic surfaces in R 2 Quadratic surfaces in R Ax + by 3 Classification of quadric surfaces in R if one variable is missing cylinders (the third va