Home
Class 12
MATHS
If 3, – 2 are the eigen values of a non-...

If `3, – 2` are the eigen values of a non-singular matrix A and `|A| = 4`, find the eigen values of `adj(A)`

Text Solution

Verified by Experts

`therefore A^(-1)=(adjA)/(|A|,` If `lambda` is eigen value of A, then `lambda^(-1)` is eigen value of A^(-1)
thus for adj `(A)X=(A^(-1)x)|A|=|A|lambda^(-1)I`
thus, eigen value corresponding to `lambda=3 is (4)/(3)` and corresponding to `lambda=-2 is (4)/(-2)=-2`
Promotional Banner

Similar Questions

Explore conceptually related problems

If A is a non-singular matrix, then A (adj.A)=

Finding a non-singular matrix A when |A| and adjA are given

If A is a singular matrix, then A (adj A) is a

If A is a non-singular matrix of order 3 and |adj A|=|A|^(K) ,then the value of K is

If A is a non - singular ,square matrix of order 3 and |A| =4 ,then the valie of |adj A| is :

If A is a square matrix of order 4 with |A| = 5, then the value of | adj A| is