The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent orinconsistent. If it is consistent, give the solution.10 0- 2- 70 10 -2- 6What equation does the first row represent?(Type an equation.)CO

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The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or
inconsistent. If it is consistent, give the solution.
10 0
- 2
- 7
0 10 -2
- 6
What equation does the first row represent?
(Type an equation.)
CO
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The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 10 0 - 2 - 7 0 10 -2 - 6 What equation does the first row represent? (Type an equation.) CO

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Expert Answer

Step 1

Given, system of equations in matrix is

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1 0 0 6 -2 0 10 -2 -7 0 1 -6

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Step 2

Rewriting the given matrix,

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-2 -2 -7 -6

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Step 3

After multipl...

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1w + 0x + 0y + 6z = -2 → First equation Ow+1x + 0y – 2z = -7→ Second equation Ow+ Ox +1y – 6z = 1→Third equation on simplifying, w+6z = -2–→ First equation x – 2z = -7-→ Second equation y – 6z = 1→ Third equation

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