Question: a. Let A = 5 0 0 2 . Find all the values of for which the determinant

a. Let A =



5 − λ 0 0 2 − λ



.

Find all the values of λ for which the determinant of A is zero.

b. Let A =



5 0 0 2

.

Find all the values of λ for which the determinant of A−λI is zero (where I is the identity matrix).

c. Let A =



5 − λ −2 1 2 − λ



.

Find all the values of λ for which the determinant of A is zero.

d. Let A =



5 −2 1 2 

.

Find all the values of λ for which the determinant of A−λI is zero (where I is the identity matrix).

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