DeterminantHard

Question

Which of the following is true for matrix A =

Options

A.A + 4I is a symmetric matrix
B.A2 - 4A + 5I2 = 0
C.A - B is a diagonal matrix for any value of α if B =
D.A - 4I is a skew symmetric matrix

Solution

A =
A2 - 4A + 5I2 ⇒
= = 0
C = A - B = is diagonal matrix, ∀ α ∈ R

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