find inverse of matrix a using adjoint matrix
4 2 3
A= [1 3 -6]
5 0 7
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3
Answer:
Find the inverse of matrix by adjoint method
A=
⎣
⎢
⎢
⎡
1
2
3
2
3
1
3
1
2
⎦
⎥
⎥
⎤
Medium
Solution
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A=
⎝
⎜
⎜
⎛
1
2
3
2
3
1
3
1
2
⎠
⎟
⎟
⎞
∣A∣=1(6−1)−2(4−3)+3(2−6)
5−2−12
−9
Minor of A=
⎝
⎜
⎜
⎛
5
1
−4
1
−4
−5
−4
−5
−1
⎠
⎟
⎟
⎞
Cof(A)=
⎝
⎜
⎜
⎛
5
−1
−4
−1
−4
+5
−4
+5
−1
⎠
⎟
⎟
⎞
adj (A)=
⎝
⎜
⎜
⎛
5
−1
−4
−1
−1
5
−4
5
−1
⎠
⎟
⎟
⎞
A
−1
=
∣A∣
adj(A)
=
9
1
⎝
⎜
⎜
⎛
−5
1
4
1
4
−5
4
−5
1
⎠
⎟
⎟
⎞
=
9
1
⎝
⎜
⎜
⎛
−5
−1
4
1
4
−5
4
−5
1
⎠
⎟
⎟
⎞
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