matrices problem help?

Question

2 x 2 matrix

find as many square roots as you can of A= top column 4 0 bottom column 0 9


hint: if A = top column a b bottom column c d
c d
write the equations that a,b,c,d would have to satisfy if A is the square root of the given matrix

Answer 1

Hint 2,
|a b| |a b| = |4 0|
|c d| |c d| = |0 9|

Hint 3,
Two matrices are equal if their corresponding entries are equal.