Construct the augmented matrix that corresponds to the following system of equations.5+(8x)/5=y2z−3(x−3y)=02x−y=3(x−4z)

he298c

he298c

Answered question

2021-03-11

Construct the augmented matrix that corresponds to the following system of equations.
5+8x5=y
2z3(x3y)=0
2xy=3(x4z)

Answer & Explanation

wornoutwomanC

wornoutwomanC

Skilled2021-03-12Added 81 answers

Step 1:To determine:
Given:
System of equations:
5+8x5=y
2z3(x3y)=0
2xy=3(x4z)
To determine:
The augmented matrix for the given system of equations.
Step 2:Calculation
Consider the equation 5+8x5=y
25+8x5=y
25+8x=5y
8x5y+0z=25...(1)
Consider the equation 2z3(x3y)=0
2z3x+9y=0
3x+9y+2z=0...(2)
Consider the equation 2xy=3(x4z)
2xy=3x12z
2x3xy+12z=0
xy+12z=0...(3)
From equation 1,2,3, the augmented matrix is given by:
[95025392011120]

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