a^3 -2a^2 is singular then one of eigen of a is
Question
a^3 -2a^2 is singular then one of eigen of a is
Solution
To find the eigenvalues of a matrix, we need to solve the characteristic equation.
Given that a^3 - 2a^2 is singular, we can set this expression equal to zero:
a^3 - 2a^2 = 0
Factoring out an "a^2" term, we get:
a^2(a - 2) = 0
This equation has two solutions: a = 0 and a = 2.
Therefore, one of the eigenvalues of matrix a is either 0 or 2.
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