Write the 3 × 3 matrix that would represent the transformation listed.
a. no change when multiplying (the multiplicative identity matrix)
b. no change when adding (the additive identity matrix)
c. a rotation about the x-axis of theta degrees
d. a rotation about the y-axis of theta degrees
e. a rotation about the z-axis of theta degrees
f. a reflection over the xx-plane
g. a reflection over the yy-plane
h. a reflection over the xx-plane
i. a reflection over y = x in the xx-plane

529 and 531

step-by-step explanation:

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)