Homework SourseLet S1 and S2 be the matrices of the symmetry with respect t
Let S1 and S2 be the matrices of the symmetry with respect to the vectors [ 1 0] and [1 1] respectively. Compute S1S2. What kind of linear transformation is S1 S2?
Solution
In general, shears are transformation in the plane with the property that there is a vector s1 such
that T(s1) = s1w and T(s2) =s2 is a multiple of s1 for all s2 Shear transformations are invertible,
[ 1 0 ] . [1 1] = 1
![Let S1 and S2 be the matrices of the symmetry with respect to the vectors [ 1 0] and [1 1] respectively. Compute S1S2. What kind of linear transformation is S1](/WebImages/31/let-s1-and-s2-be-the-matrices-of-the-symmetry-with-respect-t-1089598-1761573504-0.webp "Let S1 and S2 be the matrices of the symmetry with respect to the vectors [ 1 0] and [1 1] respectively. Compute S1S2. What kind of linear transformation is S1")
