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Mathematics
Mathematics
Problem
Attempt any one of the following: a. Obtain the inverse of the following matrix using elementary operations.
A
=
(
0
1
2
1
2
3
3
1
1
)
A = \begin{pmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{pmatrix}
A
=
0
1
3
1
2
1
2
3
1
b. If
A
=
(
2
−
3
5
3
2
−
4
1
1
−
2
)
A = \begin{pmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{pmatrix}
A
=
2
3
1
−
3
2
1
5
−
4
−
2
, find
A
−
1
A^{-1}
A
−
1
. Using
A
−
1
A^{-1}
A
−
1
, solve the system of equations:
2
x
−
3
y
+
5
z
=
11
2x - 3y + 5z = 11
2
x
−
3
y
+
5
z
=
11
3
x
+
2
y
−
4
z
=
−
5
3x + 2y - 4z = -5
3
x
+
2
y
−
4
z
=
−
5
x
+
y
−
2
z
=
−
3
x + y - 2z = -3
x
+
y
−
2
z
=
−
3
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