Question

The determinant of which of the matrices below needs to be found to determine Dx for this system of equations?


2x − 3y = 17

5x + 4y = 8


a.$\left[\begin{array}{ccc}2&-3\\5&4\\\end{array}\right]$

b.$\left[\begin{array}{ccc}2&17\\5&8\\\end{array}\right]$

c.$\left[\begin{array}{ccc}17&-3\\8&4\\\end{array}\right]$

Answer 1

Answer:

3x + 4y = 7 ... 2x − 3z = 2. has ... We can use augmented matrices to help us solve systems of equations ... Find the system of equations from the augmented matrix. ... x-3y-5z=-2 ... Any leading 1 is below and to the right of a previous leading 1. Any column containing a leading 1 has zeros in all other positions in the column.

Step-by-step explanation:

Hope this helps

Answer 2

The Dx for this system of equation can be found by the determinant of option (C) matrix  $\left[\begin{array}{ccc}17&-3\\8&4\end{array}\right]$ is the correct answer.

What is a matrix?

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The system of equations are

2x − 3y = 17

5x + 4y = 8

This system of equations can be write in matrix form as

$\left[\begin{array}{ccc}2&-3\\5&4\end{array}\right] =\left[\begin{array}{c}17&8\end{array}\right]$

The Dx for this system of equation can be found by augmenting these matrices.

The augmentation is of the form,

$\left[\begin{array}{ccc}17&-3\\8&4\end{array}\right]$

We need to substitute the output value in place of x value in the matrix. The determination of this matrix gives the value of Dx.

Hence we can conclude that the Dx for this system of equation can be found by the determinant of option (C) matrix  $\left[\begin{array}{ccc}17&-3\\8&4\end{array}\right]$ is the correct answer.

Learn more about matrices here

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