Should I answer all the questions? or a specific one?
Answer:
Floor 48
Right and left rectangles 80
Two triangles 24
48+80+24 =152
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:
Step-by-step explanation:
A=95,726/100000=0.95726
B is the same
Answer:
She will need 3.5 pounds of cheese to make the 28 casseroles
Step-by-step explanation:
In this question, we are tasked with calculating the amount of cheese in pounds needed to make 28 casseroles.
In the revised recipe, she intends using 1/2 of what is supposed to be used in the original recipe. Mathematically, since each original casseroles is meant to take 4 ounces of cheese, the revised recipe taking half will have 1/2 × 4 = 2 ounces of cheese per casserole
Now for 28 casseroles based on the revised recipe, the total amount of cheese to be used mathematically is equal to 28 × 2 = 56 ounces of casserole
The questions asks that our answer be in pounds
Mathematically, 1 ounce = 0.0625 pounds
Hence, 56 ounces of casseroles will be 56 × 0.0625 = 3.5 pounds of cheese
