Frage

Which is an augmented matrix for the system of linear equations below?
-4x+3y=216
10x-4y=-156
beginbmatrix -4&3 10&-4endbmatrix
beginbmatrix -4&3&216 10&-4&-156endbmatrix

Which is an augmented matrix for the system of linear equations below? -4x+3y=216 10x-4y=-156 beginbmatrix -4&3 10&-4endbmatrix beginbmatrix -4&3&216 10&-4&-156endbmatrix

100%(2 bewertet)

Antwort

$$\begin{bmatrix} -4 & 3 & 216 \\ 10 & -4 & -156 \end{bmatrix}$$

Erklärung

  1. The given system of linear equations is:
    $$-4x + 3y = 216$$
    $$10x - 4y = -156$$

  2. An augmented matrix represents a system of linear equations by placing the coefficients of the variables and the constants in a matrix. The coefficients of x and y form the first two columns, and the constants form the third column.

  3. The augmented matrix for the given system is:

    $$\begin{bmatrix} -4 & 3 & 216 \\ 10 & -4 & -156 \end{bmatrix}$$

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