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 =
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 =
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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 |
|
||||||||||||||
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 =
and C =
.
|
260 | 120 | 110 |
|
||
140 | 60 | 50 | ||||
120 | 70 | 50 |
|
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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