Page 684 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Figure Ex-1

For each part of Exercise 1, use the matrix you have obtained to compute T(2, 1). Check your answers geometrically by plotting
2. the points (2, 1) and T(2, 1).

Find the standard matrix for the linear operator that maps a point into
3.

(a) its reflection through the -plane

(b) its reflection through the -plane

(c) its reflection through the -plane

For each part of Exercise 3, use the matrix you have obtained to compute T (1, 1, 1). Check your answers geometrically by
4. sketching the vectors (1, 1, 1) and T (1, 1, 1).