The domain of the graph is 
while the range of the graph is 
.
- The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.
For the graph, the domain will be the values of the graph along the x-axis.
- Domain = (Note that -8 is not included)
- For the range, the interval is given as: . Note that the value of 4 is not included since it is opened.
Learn more on domain and range here: brainly.com/question/1942755
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.
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
58*0.71= around 41.2 grams of coco. This is because we can multiply to get this.
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