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Anna007 [38]
3 years ago
11

Answer quickly......

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
I can't rly see the numbers,sry if i got it wrong

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Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu
Alona [7]

Answer:

We have the equation

c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]

Then, the augmented matrix of the system is

\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]

This matrix is in echelon form. Then, now we apply backward substitution:

1.

8c_4=0\\c_4=0

2.

4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0

3.

3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0

4.

c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0

Then the system has unique solution that is (c_1,c_2c_3,c_4)=(0,0,0,0) and this imply that the vectors v_1,v_2,v_3,v_4 are linear independent.

4 0
3 years ago
If x+y=<br> = 12 and x = 2y, then x =<br> O<br> 2<br> 06<br> 08<br> 10
kenny6666 [7]

Answer:

2y + y = 12

3y = 12

y = 4

now , x = 2y

x = 2 ( 4 )

x = 8

hope that helps ✌

8 0
2 years ago
Read 2 more answers
The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes
emmainna [20.7K]

Answer:

The first submarine needs to travel at a rate of [-180 – (-1,320)] ÷ 60 = 19 feet per minute.

The second submarine needs to travel at a rate of [-180 – (-1,440)] ÷ 60 = 21 feet per minute.

21 – 19 = 2, so the second submarine must travel 2 feet per minute faster than the first sub.

3 0
2 years ago
Solve for a. a+|-23+6|=-32 <br> Plz help
prisoha [69]

Answer:

a = -49

Step-by-step explanation:

a+|-23+6|=-32

Simplify the absolute value term

a+|-17|=-32

a+17=-32

Subtract 17 from each side

a +17-17 = -32-17

a = -49

5 0
3 years ago
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Which expression will equal a rational product even though it is multiplying an irrational number times another irrational numbe
nikitadnepr [17]
A. The square of an irrational number \sqrt(11)=\sqrt(11)*\sqrt(11)=\sqrt(11^2)=11, which is a rational number. However, in B, C, and D, the two pair of rational numbers cannot multiply to become a rational number.
6 0
3 years ago
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