Answer:
Danny
Step-by-step explanation:
danny has a better offer
Step-by-step explanation:
✓(-1/6×4/7)+(-1/6×-2/5)
✓(-4/42)+(2/30)
✓(-2/21)+(1/15)
✓(-2/21+1/15)
=-<u>1/35</u>
Volume of a sphere formula is: V=4
/3 πr^3
You know v=17000 and pi=3.14
17 000 = 4/3 x 3.14 x r^3
(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)
(cube root is to get just r) r = 15.95 inches (2dp)
There 15 inches to the nearest inch.
Hope this is correct! :D
Answer:
(A) Set A is linearly independent and spans
. Set is a basis for
.
Step-by-Step Explanation
<u>Definition (Linear Independence)</u>
A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.
<u>Definition (Span of a Set of Vectors)</u>
The Span of a set of vectors is the set of all linear combinations of the vectors.
<u>Definition (A Basis of a Subspace).</u>
A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.
Given the set of vectors
, we are to decide which of the given statements is true:
In Matrix
, the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column.
has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans
.
Therefore Set A is linearly independent and spans
. Thus it is basis for
.
I don't really get what you are asking for. Can you clarify it?