Hi i was wondering if anyone can help me with this problem.. i was thinking of using Lagrangian's multipliers method to solve this., but i alsos get confused with transpose part i.e. (^t)
i need to find an expression in terms of s for the minumum value of (x^t)x subject to the constraint (s^t)x = k
s is a fixed vector in R^n
k is a real constant
and i also need to justify this is a minimum
if anyone can help..that would be great thanks
Hi thanks for the reply..however as i am learning about lagrangian multipliers and kuhn tucker methods, i sujested using langrangian method, so then i could use hessian matrix to justify my minimum, by checking the leading minor principles. Like i said when i expand or differentiate equations with the the transpose sign,,..i get confused where to put the t.
But with what you have shown i dont know how to justify the minumum..any suggestions??