Question

A system of linear equations is shown.

3x – 4y + 6z = -27
x + 5y – 2z = 18
5x + y - 3z = -8
Which matrix equation represents this system of equations?

Answer 1

The matrix form is

`\left[\begin{array}{ccc}3&-4&6\\1&5&-2\\5&1&-3\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-27\\18\\-8\end{array}\right]`

Explanation:

Explanation:-

A system of linear equations is shown.

3x – 4y + 6z = -27

x + 5y – 2z = 18

5x + y - 3z = -8

The matrix form is

A X = B

`\left[\begin{array}{ccc}3&-4&6\\1&5&-2\\5&1&-3\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-27\\18\\-8\end{array}\right]`