Answer:
a) False
b) False
c) True
d) False
e) False
Step-by-step explanation:
a. A single vector by itself is linearly dependent. False
If v = 0 then the only scalar c such that cv = 0 is c = 0. Hence, 1vl is linearly independent. A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, only a single zero vector is linearly dependent, while any set consisting of a single nonzero vector is linearly independent.
b. If H= Span{b1,....bp}, then {b1,...bp} is a basis for H. False
A sets forms a basis for vector space, only if it is linearly independent and spans the space. The fact that it is a spanning set alone is not sufficient enough to form a basis.
c. The columns of an invertible n × n matrix form a basis for Rⁿ. True
If a matrix is invertible, then its columns are linearly independent and every row has a pivot element. The columns, can therefore, form a basis for Rⁿ.
d. In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. False
Row operations can not affect linear dependence among the columns of a matrix.
e. A basis is a spanning set that is as large as possible. False
A basis is not a large spanning set. A basis is the smallest spanning set.
Answer: -1r = 6 then divide 6 by -1 which your answer would be r= -6
Step-by-step explanation:
I think the answer would be the 0.039.
Answer:
A) 8 treatments
- Normal sleeper, high school dropout
- Normal sleeper, high school graduate
- .Normal sleeper, college graduate
- Chronic insomnia, college graduate
- Chronic insomnia, high school graduate
- Chronic insomnia, high school dropout
- Normal sleeper, some college
- Chronic insomnia, some college
B) 8 treatments
Step-by-step explanation:
<u>A) determine the number of treatments for this study </u>
The number of treatments for this study can be determined as : 2 * 4 = 8 treatments
and they are :
- Normal sleeper, high school dropout
- Normal sleeper, high school graduate
- .Normal sleeper, college graduate
- Chronic insomnia, college graduate
- Chronic insomnia, high school graduate
- Chronic insomnia, high school dropout
- Normal sleeper, some college
- Chronic insomnia, some college
B) eight (8 ) treatments
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
![\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D3%5E2%2B4%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B9%2B16%7D%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5%20%5Cend%7Bgathered%7D)
