3 years ago

How to determine if set of vectors is linearly independent?

1 answer:

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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How long will it take for the money to triple? Compounded continuously.

bezimeni [28]

If e^(rt) is 3, then taking logarithms tells you

... rt = ln(3)

So, the time to triple the amount is

... t = ln(3)/0.0275 ≈ 39.95 . . . . years

_____

The working out that is shown in the picture appears to be correct.

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3 years ago

Find the area of a circle in terms of pi with a radius of 7.4 cm.

Anit [1.1K]

$A= \pi r^{2} =\\A=\pi (7.4)^{2}=\\A=\pi (54.76)=\\A=54.76\pi$

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3 years ago

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Need help is confused

Afina-wow [57]

Answer: a = 3.6

<u>Step-by-step explanation:</u>

$\dfrac{2}{3}(6a+9)=20.4\\\\\\\text{Distribute the }\dfrac{2}{3}\ \text{by multiplying it by each term in the parenthesis:}\\\dfrac{2}{3}(6a)+\dfrac{2}{3}(9)=20.4\\\\\\\text{Cancel out common terms then Multiply:}\\2(2a)+2(3)=20.4\\4a+6=20.4\\\\\text{Subtract 6 from both sides:}\\4a=14.4\\\\\text{Divide both sides by 4:}\\a=3.6$

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4 years ago

A flute is on sale for $50 more than half of the regular price. if the sale price is $250, what is the regular price of the flut

ololo11 [35]

$250-50=200
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3 years ago

What is x+6y=-2 converted into slope intercept.

aleksandr82 [10.1K]

Slope-intercept form is y=mx+b, where m is the slope, and b is the y-intercept.
So, to convert x+6y=-2, you have to isolate y. Your first step is to move the x to the other side. To do this, you subtract 1x from both sides:
6y=-x-2

Your final step is to divide both sides by 6:
y=-1/6x+1/3

Hope this helps :-)

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3 years ago

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