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.
Here’s the answers , it stops at 7 in the picture but here’s 8-9
8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!
Answer:18.75
Step-by-step explanation: each cookie costs 3.75 so 3.75 times 7= 18.75
Answer:
Answers are below in bold.
Step-by-step explanation:
The first answer is correct. 1 m² = 10,000cm²
A=2(wl+hl+hw) To find the surface area of the package, use this equation
A=2(18*50+20*50+20*18) Multiply in the parentheses
A=2(900+1000+360) Add in the parentheses
A=2(2260) Multiply
A=4520
The package has a surface area of 4520 cm²
The area of the package is less than the area of the wrapping paper.
So, Dayson can completely cover the package with the wrapping paper.
