Answer:
Check the explanation
Step-by-step explanation:
1. FALSE. If X and Y are 2 solutions to the equation AX = b, then A(X+Y) = AX +AY = b+b = 2b ≠ b as b ≠ 0. This implies that X+Y is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under vector addition.
2. FALSE. If X is a solution to the equation AX = b and if k is an arbitrary scalar other than 1, then A(kX) = kAX = kb≠ b. This implies that kX is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under scalar multiplication.
3. FALSE, unless b = 0. A.0 = 0 . Since b ≠ 0, the set of solutions to the equation AX = b does not contain the 0 vector.
4. FALSE. In view of 1,2,3 above, the set of solutions to the equation AX = b is not a subspace since b ≠ 0.
Answer:
The question is imcomplete. I need a diagram of some sort to help you out.
Answer:
11/30
Step-by-step explanation:
Since there are 30 students in total, and 11 of them have both a brother and a sister, then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
Answer:
27 degrees if done right by me
Step-by-step explanation:
subtract 46 from 163 as well as 90
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys
New ratio is 3:4 with 48 boys
48➗4= 12
So for girls 3x12= 36
<span>So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.</span>