Department of Mathematics
Dr. Ahmad Moursy
Spring 2020
Mathematics for Management -(Math201)
Assignment # I
Name:
ID:
Tutorial Nr.
• Answer all questions and show all the details of your work for full credit.
• All questions have equal weight.
1. Find x such that
−1 2x 7
2
=
1 2
−1
−7
4
1

1
2. Let A = 1
1
1
2
4

1
x . For what values of x, A is invertible?
x2
2
3. Use the method

0
matrix. A = 3
4
of Gauss-Jordan elimination to find the reduced echelon form of the following
0 2 −2 2
3 −3 9 12
4 −2 11 12
3
4. The rush hour traffic flow (the number of cars per hour) for a network of four one-way streets in a
city is shown in the figure. Determine the system of linear equations determined by the traffic flow
at each intersection and solve it.
4