<span>The was a 30% decrease in area.
You started with 40 sq ft and ended up with 28 sq ft. So you lost 40 - 28 = 12 sq ft.
Now you need to figure out what percentage of 40 is 12. For that you just simply divide
12 / 40 = 0.30
And to convert 0.30 from a decimal to a percentage, just multiply by 100.
0.30 * 100 = 30%</span>
The Length would be 3
5+5= 10
16-10 =6 / 2 =3
The value 170 000 is 100x larger than the value 170.
Number 4: line XZ; number 5: theory of congruent triangles.
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.
