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galben [10]
3 years ago
8

How to determine if set of vectors is linearly independent?

Mathematics
1 answer:
zimovet [89]3 years ago
7 0
The vectors \{v_1,v_2,...,v_p\}\in \mathbb{R}^n are linearly independent if the ONLY solution to the following equation:

c_1v_1+c_2v_2+...c_pv_p=0

is c_1=c_2=...=c_p=0
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Two cargo ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship Bis sailing into harbor on a cours
s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

cos(x) = \frac{adjacent}{hypotenuse}

cos(47) = \frac{22miles}{hypotenuse} .... flip both fractions.

\frac{1}{cos(47)} = \frac{hypotenuse}{22miles} .... multiply both sides by 22

\frac{22mi}{cos(47)} = hypotenuse

32.26mi = hypotenuse = B

So the distance of ship B from the Harbor is 32.26 miles

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0
3 years ago
A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie b
Goryan [66]

Answer:

10 + 9 = n

19 apples

Step-by-step explanation:

80 ÷ 8 = y and 56 ÷ 6 = a

n = y + a

80 ÷ 8 × 8 = y × 8

80 = 8y

80 ÷ 8 = 8y ÷ 8

y = 10

54 ÷ 6 = a

54 ÷ 6 × 6 = a × 6

6a = 54

6a ÷ 6 = 54 ÷ 6

a = 9

10 + 9 = n

19 = n

7 0
3 years ago
Identify the ordered pair on the graph of the equation 2x + 5y = 4.
Colt1911 [192]
What you would do is you would substitute each ordered pair into their respective variables. (ie. for (0,1) you would put 0 where the x is and 1 where the y is) You would then solve the equation. If the equation is not even (ie. 2=5 would not be even but 4=4 would be), you move on to the next ordered pair.

If you follow the process right and you get the equations correct, the answer should be B. (7,-2)
6 0
3 years ago
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year
NemiM [27]
Wym their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year
6 0
3 years ago
Helppppppppppppppppppppppppppppppppp
yulyashka [42]
2x÷y
=2(2)÷(-4)
=4÷(-4)
=-1
7 0
3 years ago
Read 2 more answers
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