# Question: let x y z be 3x3 matrices x is...

###### Question details

Let X, Y, Z be 3x3 matrices

* X is symmetric and det(X)=3

* Y is lower triangular and det(Y)= 5

* Z has 1's down the main diagonal and the columns of Z form a linearly dependant set

Find:

a) det (I+Z)

b) det (X + X^{T})