Yes, and it is preferable if you do. However, there are certain guidelines to follow so make sure you have a trainer who is educated in osteoporosis.
When all is said and done- eating less and exercising more is STILL the best formula for ;losing weight. Looking at WHAT you are eating also counts. For the more mature woman, eating less wheat seems to have a good effect on weight.
Strength training during the later years of our lives is important to keep muscle mass and also increase or prevent further bone loss.
ALL exercise is good for the mature woman! There is a need for cardiovascular work, strength training, stretching and balance work.