Question

[i 2 1
Q.2. Find the inverse of the matrix
3 0 1
using adjoint method.
0 2 1​

Answer 1

Answer:

Let A=⎣⎢⎢⎡100220345⎦⎥⎥⎤ 

∴∣A∣=⎣⎢⎢⎡100220345⎦⎥⎥⎤  

=1(10−0)−0+0 

=1(10)−0+0 

=10=0

∴A−1 exists.

First we have to find the co factor matrix

=[Aij]3×3, where Aij=(−1)i+jMij 

Now, A11=(−1)1+1M11=∣∣∣∣∣∣2045