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Question 884332: A hotel rents double rooms at $320 per day and single rooms at $260 per day. If 46 rooms were rented one day for a total of $13,760.
1.Display the information given in a system format.
2.Write the system in matrix from Ax = b.
3.Find the determinant of matrix A in (2) above.
4.Find the inverse of matrix A in (2) above.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! I'll get you started
1)
d+s=46
320d+260s=13760
1, 1 46
320, 260 13760
divide by 20
2)
1 ,1 46
16,13 688
3)determinant = -3
d = -90/-3 = 30/1 = 30
s = -48/-3 = 16/1 = 16
1,0,30
0,1,16
4)
inverse matrix
-4.333 0.333
5.333 -0.333
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