For a line L in ℝ 2 , draw a sketch to interpret the following transformations geometrically: a. T ( x → ) = x → − proj L x → b. T ( x → ) = x → − 2 proj L x → c. T ( x → ) = 2 proj L x → − x →
For a line L in ℝ 2 , draw a sketch to interpret the following transformations geometrically: a. T ( x → ) = x → − proj L x → b. T ( x → ) = x → − 2 proj L x → c. T ( x → ) = 2 proj L x → − x →
Solution Summary: The author illustrates the transformation of T(stackrelto x) into a component proj_L
For a line L in
ℝ
2
, draw a sketch to interpret the following transformations geometrically: a.
T
(
x
→
)
=
x
→
−
proj
L
x
→
b.
T
(
x
→
)
=
x
→
−
2
proj
L
x
→
c.
T
(
x
→
)
=
2
proj
L
x
→
−
x
→
a. Transform figure F using the rule (x,y) —> (-x, y-8).
b. Describe the transformation precisely.
c. Does the transformation result in a figure that is congruent to the original, similar to the original, both, or neither?
Determine whether the following transformation from R3 to R? is linear.
Chapter 5 Solutions
Linear Algebra With Applications (classic Version)
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