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
Gauth AI-Lösung
100%(2 bewertet)
Antwort
$$\begin{bmatrix} -4 & 3 & 216 \\ 10 & -4 & -156 \end{bmatrix}$$
Erklärung
-
The given system of linear equations is:
$$-4x + 3y = 216$$
$$10x - 4y = -156$$ -
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.
-
The augmented matrix for the given system is:
$$\begin{bmatrix} -4 & 3 & 216 \\ 10 & -4 & -156 \end{bmatrix}$$