CUNY 605 Week Two

Discussion Exercise

Exercise M30

Construct an example to show that the following statement is not true for all square matrices A and B of the same size:

\[ det(A + B) = det(A) + det(B) \]

A <- rbind(c(3, 5),
           c(1, -2))
B <- rbind(c(-1, 2),
           c(4, 4))

print(det(A) + det(B))

## [1] -23

print(det(A + B))

## [1] -31

Can see they are not the same!