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inysia [295]
2 years ago
15

Complex Numbers

Mathematics
1 answer:
Gnom [1K]2 years ago
3 0

isgdhidisisiekekwksososjwn20

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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
Re-posting this because nobody noticed. Please somebody help me with this. Its my first time on brainly.
Svetlanka [38]

Answer:

1. Should stay the same since you can't combine any further

2. 6x²-6x+16

8 0
2 years ago
Geraldine has 8 cups of sugar. She uses 6 3/5 cups to make a large cake. How many cups of sugar does she have left?
Inga [223]

Answer:

1\frac{2}{5}

Step-by-step explanation:

remaining cups = total cups - used caps

let remaining cups be = x

     total cups = y = 8

      used cups = z= 6\frac{3}{5}

Hence x = y-z

x = 8 - 6\frac{3}{5}

  = \frac{8}{1}  - \frac{33}{5}  = \frac{40-33}{5} = \frac{7}{5} = 1\frac{2}{5}

x= 1\frac{2}{5}

Remaining cups = 1\frac{2}{5}

4 0
3 years ago
What is 64x4 pls help me
Klio2033 [76]

Answer:

256

Step-by-step explanation:

64*4

(60*4)+(4*4)

240+16

256

you could also take a different approach--

64=4^3

4^3*4=4^4

4^4=16^2=256

6 0
3 years ago
Read 2 more answers
3. When Antoine or Adriane is halfway to the top of the Ferris wheel, what is his or her elevation? (Use the
klemol [59]

Answer:  70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

3 0
3 years ago
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