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Consider the following system of equations: , ,
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
Consider the following system of equations:
2
y
−
z
+
3
x
=
4
2y - z + 3x = 4
2
y
−
z
+
3
x
=
4
,
−
x
+
5
z
=
6
-x + 5z = 6
−
x
+
5
z
=
6
,
3
x
+
y
+
2
z
=
5
3x + y + 2z = 5
3
x
+
y
+
2
z
=
5
. (i) Re-write each equation so that the variables appear in the order
x
,
y
,
z
x, y, z
x
,
y
,
z
. (ii) Hence write the system in the matrix equation form
A
X
=
B
AX = B
A
X
=
B
, clearly stating
A
A
A
,
X
X
X
and
B
B
B
.
Related theory
Matrices
Matrix operations
Matrix definition and notation
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