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What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A| = |Ax| = |Ay| =

User Jjwchoy
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|A| = | 5, 3, -8, -3 |

|A ₓ| = | 17, 3, 9, -3 |

|Aᵧ| = | 5, 17, -8, 9 |

What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A-example-1
User Jaydp
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4 votes

For this case we have the following system of equations:


image

We can Rewrite the system of equations of the form:


image

Where,

A: coefficient matrix

x: incognita vector

b: vector solution

We have then:


A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]


x=\left[\begin{array}{ccc}x\\y\end{array}\right]


b=\left[\begin{array}{ccc}17\\9\end{array}\right]

Then, the determinant of matrix A is given by:


image


|A|=-15+24


|A|=9

Answer:

The determinants for solving this linear system are:


|A|=9

User Probosckie
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