a) $T(2(1,0))=T((2,0))=(1,0); 2T((1,0))=2(1,0)=(2,0)$ . These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).

b) $T((1,2)+(2,3))=T(3,5)=(3,9); T((1,2))+T((2,3))=(1,1)+(2,4)=(3,5)$ . Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).

c) $T(\frac{1}{2}(\pi,0))=T((\frac{\pi}{2},0))=(\sin(\frac{\pi}{2}),0)=(1,0); \frac{1}{2}T((\pi,0))=\frac{1}{2}(0,0)=(0,0)$ so T is not homogeneous.

d) $T((-1,0)+(1,0))=T(0,0)=(0,0); T((-1,0))+T((1,0))=(1,0)+(1,0)=(2,0)$ then T is not additive.

e) $T((0,0)+(1,0))=T(1,0)=(2,0); T((0,0))+T((1,0))=(1,0)+(2,0)=(3,0)$ then T is not additive.

8 0

3 years ago

A student solved this problem and said the answer is 1 10 quart. Lila used 72 5 quarts of paint to paint her room. Renee used

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Answer:

Step-by-step explanation:

The right answer for the question that is being asked and shown above is that: "B.No, the answer is not reasonable. It should be about 13 quarts."A student solved this problem and said the answer is quart. Lila used quarts of paint to paint her room. Renee used quarts to paint her room. Lila use than Renee No, the answer is not reasonable. It should be about 13 quarts.

3 0

3 years ago

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