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Write the system first as a vector equation and then as a matrix equation.

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Final answer:

To write the system as a vector equation, we list the coefficients of each variable as components of a vector in the equation. To write the system as a matrix equation, we can use the coefficients of the variables to form a matrix and the variables as a column vector.

Step-by-step explanation:

To write the system as a vector equation, we list the coefficients of each variable as components of a vector in the equation. For the given system:

4x1 - x2 = 6
2x1 + 10x2 = 2
6x1 - x2 = 1

We can rewrite it as:

[4, -1] · [x1, x2] = 6
[2, 10] · [x1, x2] = 2
[6, -1] · [x1, x2] = 1

To write the system as a matrix equation, we can use the coefficients of the variables to form a matrix and the variables as a column vector. For the given system:

4x1 - x2 = 6
2x1 + 10x2 = 2
6x1 - x2 = 1

We can rewrite it as:

[4, -1; 2, 10; 6, -1] · [x1; x2] = [6; 2; 1]

Compete Question:

write the system first as a vector equation and then as a matrix equation.

4x1 - x2 = 6

2x1 + 10x2 = 2

6x1 - x2 = 1

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