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Ad libitum [116K]
3 years ago
12

Does the relation {(-5, -3), (7,2), (3,8), (3, -8)} represent a function. Use the arrow digram. Then explain your answer.

Mathematics
1 answer:
Maslowich3 years ago
4 0
No it is not a function
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Can someone please help me? :(
Sholpan [36]
The answer is attached, hope this helps!

5 0
3 years ago
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Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t
schepotkina [342]

Answer:

(A) Set A is linearly independent and spans R^3. Set is a basis for R^3.

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  A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right) , we are to decide which of the given statements is true:

In Matrix A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right) , 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. R^3 has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans R^3.

Therefore Set A is linearly independent and spans R^3. Thus it is basis for R^3.

8 0
3 years ago
Factorize<br> ху<br> + 3x +3y<br> + 18
noname [10]

Answer:

(x+6)(y+3)

Step-by-step explanation:

  1. xy + 3x + 6y + 18
  2. x(y + 3) + 6(y+3)
  3. <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
3 0
2 years ago
I have 5 marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value o
fomenos

Answer:

The expected values from the product of 2 marbles are 1,2,3,4,5,6,8,10,12,15,20

Step-by-step explanation:

THe expected values are 1,2,3,4,5,6,8,10,12,15,20

4 0
3 years ago
Can you all help me pls. Thanks.
Nataliya [291]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
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