1. Write the contrapositive of each implication. 􀂜 (a) If all roses are red, then some violets are blue. (b) A is not invertible if there exists a nontrivial solution to Ax = 0. (c) If f is...

1. Write the contrapositive of each implication. 􀂜

(a) If all roses are red, then some violets are blue.

(b) A is not invertible if there exists a nontrivial solution to Ax = 0.

(c) If f is continuous and C is connected, then f (C) is connected.

2. Write the converse of each implication in Exercise 3.

Exercise 3

Write the contrapositive of each implication. 􀂜

(a) If all roses are red, then some violets are blue.

(b) A is not invertible if there exists a nontrivial solution to Ax = 0.

(c) If f is continuous and C is connected, then f (C) is connected.