The correct answer is option 2 - "1 and 3 only."

Let`s analyze each statement to determine if it is correct or not:

1. Ligaments are highly flexible - This statement is incorrect. Ligaments are dense bands of connective tissue that connect bones to other bones, providing stability and preventing excessive movement. Ligaments are not known for their flexibility but rather for their strength and stability. Therefore, option 1 is incorrect.

2. Ligaments connect muscles and bones - This statement is correct. Ligaments are responsible for connecting bones to other bones in the body. They help maintain the stability of the joints and allow for coordinated movement between skeletal structures. Therefore, option 2 is correct.

3. Ligaments contain very little matrix - This statement is incorrect. Ligaments consist primarily of collagen fibers, which form a matrix that provides strength and flexibility. The matrix is a crucial component of ligaments and helps maintain their structural integrity. Therefore, option 3 is incorrect.

In summary, the correct statements are that ligaments connect muscles and bones (option 2) and ligaments do not contain very little matrix (option 3).