In general, the eigenvalues of an upper triangular matrix are given by the entries on the diagonal. the same is true for a lower triangular matrix. verify this for 2 × 2 and 3 × 3 matrices.

Verified!

Step-by-step explanation:

Upper or lower triangular matrix does not make any difference in finding eigenvalues because equalizing determinant to zero will lead to the same result.

Let's apply it for 2x2 matix:

So, eigenvalues are entries on the diagonal because zeros in upper side or lower side vanishes the remaining part and only we have .

So, eigenvalues are

Let's apply it for 3x3 matrix:

So as above, eigenvalues are entries on the diagonal because zeros in upper side or lower side vanishes the remaining part and only we have .

So eigenvalues are

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x