Mathematics, 11.02.2020 00:31 lindsaypre0644

Solve the system by finding the reduced row-echelon form of the augmented matrix.

x-4y-2z=2

2x-11y-10z=13

-x+6y+6z=-8

reduced row-echelon form:

1 -4 -2 2

0 1 -10 -3

0 0 0 0

(It's wrong, and I don't know why ? )

If there is one solution, give its coordinates in the answer spaces below.

If there are infinitely many solutions, enter z in the answer blank for , enter a formula for in terms of in the answer blank for and enter a formula for in terms of in the answer blank for .

If there are no solutions, leave the answer blanks for , and empty.

How can I find my X, Y ,Z ? Is it going to be Zero ?!

Answers: 1

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Answer from: manuell090203

The reduced row-echelon form is

$\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

The solutions to the system of equations are:

$y=-2z-3,\:x=-6z-10$

Step-by-step explanation:

To solve this system of linear equations,

$x-4y-2z=2\\2x-11y-10z=13\\-x+6y+6z=-8$

you must:

Step 1: Transform the augmented matrix to the reduced row echelon form.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

This is the augmented matrix that represents the system.

$\left[ \begin{array}{cccc} 1 & -4 & -2 & 2 \\\\ 2 & -11 & -10 & 13 \\\\ -1 & 6 & 6 & -8 \end{array} \right]$

It can be transformed by a sequence of elementary row operations to the matrix.

There are three kinds of elementary matrix operations.

Interchange two rows (or columns). Multiply each element in a row (or column) by a non-zero number. Multiply a row (or column) by a non-zero number and add the result to another row (or column).

Using elementary matrix operations, we get that

Row Operation 1: add -2 times the 1st row to the 2nd row

Row Operation 2: add 1 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1/3

Row Operation 4: add -2 times the 2nd row to the 3rd row

Row Operation 5: add 4 times the 2nd row to the 1st row

$\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

Step 2: Interpret the reduced row echelon form

The reduced row echelon form of the augmented matrix is

$\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

which corresponds to the system

$x+6z=-10\\y+2z=-3\\0=0$

The system has infinitely many solutions.

$y=-2z-3,\:x=-6z-10$

Answer from: Quest

add 5 subtract 1

step-by-step explanation:

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

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Solve the system by finding the reduced row-echelon form of the augmented matrix.

x-4y-2...

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