Q11 of 37 Page 293

If A = , show that adj A = 3A’.

We have,

To show: adj A = 3A’


Firstly, we find the Transpose of A i.e. A’



So,


…(i)


Now, we have to find adj A, and for that, we have to find co-factors:












Now, taking Adj A i.e.




= 3A’ [from eq. (i)]


Hence Proved


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Find the adjoint of the given matrix and verify in each case that A. (adj A) = (adj A) =m |A|.I.


 10

If A = , show that adj A = A.

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13

Find the inverse of each of the matrices given below.