Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
1 answer:
Answer:
Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:
We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
You might be interested in
You should be able to set up a proportion between the sides something like (18+x)/x=(56+21)/56
Answer:
Step-by-step explanation:
GIVEN: A snack-size bag of M&Ms candies is opened. Inside, there are red candies,
blue,
green,
brown,
orange, and
yellow. Three candies are pulled from the bag in succession, without replacement.
TO FIND: What is the probability that the first two candies drawn are orange and the third is green.
SOLUTION:
Total candies in the bag
Probability that first ball is orange,
Probability that second ball is orange,
Probability that third ball is green,
Now, probability that first two balls are orange and third is green is
Hence, probability that first two balls are orange and third is green is