Please answer the picture for me!!

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

3 years ago

What is 0.95 × 3.75?

Alborosie

The answer is 3.5625

6 0

3 years ago

Read 2 more answers

Function tables with two-step rules Fill in the table using this function rule.<br> help asap

NeTakaya

Answers:

Answer for row one: 1

Answer for row two: 11

Answer for row three: 16

Answer for row four: 36

=========================================

Work Shown:

Whatever the x value is, we multiply by 5 and subtract off 14 to get the corresponding y value. This is following the order of operations PEMDAS

------------

If x = 3, then

y = 5*x - 14

y = 5*3 - 14 ..... note how x is replaced with 3

y = 15 - 14

y = 1

This means that when x = 3, the y value is y = 1.

So 1 goes in the box in the first row.

---------------

Repeat for x = 5

y = 5*x - 14

y = 5*5 - 14

y = 25 - 14

y = 11

We have 11 as the second answer.

--------------

Repeat for x = 6

y = 5*x - 14

y = 5*6 - 14

y = 30 - 14

y = 16

The third answer is 16.

--------------

Repeat for x = 10

y = 5*x - 14

y = 5*10 - 14

y = 50 - 14

y = 36

The last answer is 36.

3 0

4 years ago

PLEASE HELP I have been trying to figure this out for a really long time and I want to get the best grade on my test !

Shalnov [3]

Answer:

see below

Step-by-step explanation:

$-4^{2} =-16\\\\-\sqrt{4} =-2\\\\\sqrt{4^{2} } =4\\\\-2\sqrt{4} =-4\\\\(-4)^{2} =16\\\\\sqrt{1/4} =1/2$

so the order

-16

-4

-2

1/2

4

16

in root forms and exponent

$-4^{2} \\\\-2\sqrt{4} \\\\-\sqrt{4} \\\\\sqrt{\frac{1}{4} } \\\\\sqrt{4^{2} } \\\\(-4 )^{2}$

8 0

3 years ago

A rectangular garden measures 9 feet wide by 12 feet long. If a hose costs $8 per foot, how much would it cost to place a hose

castortr0y [4]

Answer:

120

Step-by-step explanation:

using the pythogorean thereom, we have 12^2+9^2=225

sqrt225=15

15*8=120

5 0

3 years ago