Question

Which of the following matrices could be used to solve the system of equations? 3x - y + 4z = 1
x - y + z = -1
2x + y - z = 12

Answer 1

Answer:

3   -1   4   1

1   -1   1  -1

2   1   -1   12

Step-by-step explanation:

Answer 2

The following matrices could be used to solve the system of equations is,

$\left[\begin{array}{ccc}3&-1&4\\1&-1&1\\2&1&-1\end{array}\right] \left[\begin{array}{ccc}1\\-1\\12\end{array}\right]$

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

3x - y + 4z = 1

x - y + z = -1

2x + y - z = 12

The standard form of the matrix for the following equation is;

a₁x+b₁y+c₁z = d₁

a₂x+b₂y+c₂z=d₂

a₃x+b₃y+c₃z=d₃

The standard matrix form is;

$\left[\begin{array}{ccc}3&-1&4\\1&-1&1\\2&1&-1\end{array}\right] \left[\begin{array}{ccc}1\\-1\\12\end{array}\right]$

The following matrices could be used to solve the system of equations is,

$\left[\begin{array}{ccc}3&-1&4\\1&-1&1\\2&1&-1\end{array}\right] \left[\begin{array}{ccc}1\\-1\\12\end{array}\right]$

Hence the matrix form is explained above.

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