Perform the folowing transformation on the unit square: sketch the image, find the determinant of the given
matrix, and find the area the image.
a. −1 −3
−2 −4
b. −1 −3
2 4

c. 1 3
−2 −4
d. −1 3
−2 4

e. −3
2 −4
f. −1 3
2 −4

g. 1 −3
−2 4

leson sumary
definition
 the area of the image of the unit square under the linear transformation represented by a 2 × 2 matrix is
caled the determinant of that matrix.
leson 26: