The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A.      Checking  accounts      Savings accounts       Fixed-  deposit accounts   Main office   2840           1490            1120   1030           540            480 1170           560            480 A =  Westside branch   Eastside branch The number and types of accounts opened during the first quarter are represented by matrix B, and the number and types of accounts closed during the same period are represented by matrix C. Thus, B =    260 120 110   140 60 50 120 70 50    and    C =    120 80 80   70 30 40 60 20 40. (a) Find matrix D, which represents the number of each type of account at the end of the first quarter at each location. D =

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Chapter1: Introduction
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The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A.

     Checking
 accounts    
 Savings
accounts    
  Fixed-
 deposit
accounts
  Main office
 
2840           1490            1120
 
1030           540            480
1170           560            480
A =  Westside branch
  Eastside branch

The number and types of accounts opened during the first quarter are represented by matrix B, and the number and types of accounts closed during the same period are represented by matrix C. Thus,

B = 
 
260 120 110
 
140 60 50
120 70 50
    and    C = 
 
120 80 80
 
70 30 40
60 20 40
.
(a) Find matrix D, which represents the number of each type of account at the end of the first quarter at each location.
D =  
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(b) Because a new manufacturing plant is opening in the immediate area, it is anticipated that there will be a 10% increase in the number of accounts at each location during the second quarter. Write a 

matrix E = 1.1D

 to reflect this anticipated increase.

E =  

 

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