Question

1) a) If A is a 4×5 matrix and B is a 5×2 matrix, then

size of AB is:

b) If C is a 3×4 matrix and size of DC is 2×4 matrix , then size of D is:

c) True or False: If A and B are both 3 × 3 then AB = BA

d) The 2 × 2 identity matrix is: I =

e) Shade the region 3x + 2y > 6.

f) Write the augmented matrix correspond with the following system:

  3x−y+5z = 7
7x−3z = 1

9y+11z = 14

g)

Apply the row operation R1 + 2R3 → R1 on the following matrix:

2 −3 1 | 4

2 0 6 | −5−→

[1 −1 1 | 0 ]

h) True or False: The point (2, 1) is in the following feasible region: x+2y ≤ 5, 5x−6y<7, and x ≥ 0, y ≥ 0.

I) True or False: (x = −1, y = 2, z = 3) is a solution to the following system of linear equations: x + 2y − z = 0; 3x + 3y + z = 6; 5x + 3y − z = 6

Answer 1