For the matrix, find the numbers a and b such that A2 + aA + bI = O - Maths - Determinants

Question

For the matrix, find
the numbers a and b such that A 2 +
aA + bI = O

Gopal Mohanty · Accepted Answer

We have:

Comparing the corresponding elements of the two matrices, we have:

Hence, −4 and 1 are the required values of a and b respectively

For the matrix, find the numbers a and b such that A 2 + aA + bI = O.