Write out the system of equations that corresponds to each of the following augmented matrices: (a)begin{pmatrix}3 & 2&|&8 1 & 5&|&7 end{pmatrix} (b)b

pedzenekO 2021-01-28 Answered
Write out the system of equations that corresponds to each of the following augmented matrices:
(a)(32|815|7)
(b)(521|3234|0)
(c)(214|1423|4526|1)
(d)(4312|43156|51124|85132|7)
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Expert Answer

Mitchel Aguirre
Answered 2021-01-29 Author has 94 answers

Step 1 Write out the system of equation to each of the following augmented matrices. Step 2 (a)[32|815|7]
In an augmented matrix, each row represents one equation of the system and each column represents a constant terms or variable.
When the columns represents the variables x1 and x2
Hence, the system of equation of the given augmented matrix is {3x1+2x2=8x1+5x2=7
Step 3
(b)[521|3234|0]
In an augmented matrix, each row represents one equation of the system and each column represents a constant terms or variable.
When the columns represents the variables x1,x2 and x3
Hence, the system of equation of the given augmented matrix is {5x12x2+x3=32x1+3x24x3=0
Step 4
(c)[214|1423|4526|1]
In an augmented matrix, each row represents one equation of the system and each column represents a constant terms or variable.
When the columns represents the variables x1,x2 and x3
Hence, the system of equation of the given augmented matrix is {2x1+x2+4x3=14x12x2+3x3=45x1+2x2+6x3=1
Step 5
(d)[4312|43156|51124|85132|7]
In an augmented matrix, each row represents one equation of the system and each column represents a constant terms or variable.
When the columns represents the variables x1,x2,x3 and x4
Hence, the system of equation of the given augmented matrix is {4x13x2+x3+2x4=43x1+x25x3+6x4=5x1+x2+2x3+4x4=85x1+x2+3x32x4=7

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Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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