Question

Use matrices and row operations to solve the following system of equations:

2x-y+3z=7

x-y-z=0

-3x-2z=-11

Answer 1

for matrix A =

2	-1	3
1	-1	-1
-3	0	-2

and matrix B =

x

y

z

also C

7

0

-11

here AB =C

therefore B =A^-1C

for inverse of A:

-0.2	0.2	-0.4
-0.5	-0.5	-0.5
0.3	-0.3	0.1

therefore multiplying above with C:

A^-1C =

3

2

1

hence x =3

y=2

z=1