Question

What is the order of the augmented matrix for this { x+y=3
2x−y=3 linear system?

Answer 1

\[\left[\begin{matrix}x+y=3 &\\ 2x-y=3& \end{matrix}\right]\]

Answer 2

@dan815

Answer 3

@amistre64

Answer 4

2 × 2

3 × 3

2 × 3

3 × 2

Answer 5

The Augmented matrix of any system of equalities is always represented by the coeficents of the variables and the constante they represent, say for instance I have the system of equation:
\[Ax+By+Cz=K_1\]
\[A'x+B'y+C'z=K'\]
\[A''x+B''y+C''z=K''\]
The "augemented matrix" will be a 4 by 3 matrix, because it'll look like this:
\[\left[\begin{matrix}A & B & C &K \\ A' & B' & C' & K'\\ A'' & B'' & C'' & K''\end{matrix}\right]\]

Answer 6

A MAtrix is always represented by first writing the number of rows and then the number of columns: "nxm"

Answer 7

so its a 2by 2

Answer 8

That's incorrect, try again.

Answer 9

so its a 3by 3

Answer 10

@Owlcoffee

Answer 11

Close, but you have it wrong on the columns

Answer 12

got to be a 2 by 3

Answer 13

You are correct.