Let lambda be an eigenvalue of the matrix a elementof m_n(r). if x_1, x_2, and x_3 are eigenvectors associated with lambda, prove that y = c_1x_1 + c_2x_2 + c_3x_3 is also an eigenvector of a associated with lambda.

What is the order of operations for 2 + (3 - 9) ÷ -3 · 4 in number order 1. subtraction 2. division 3. addition 4. multiplication

Select all of the quadrants that the parabola whose equation is y=√x-4 (principal square root) occupies. i ii iii iv

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer