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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. Fixed- Checking accounts deposit Savings accounts accounts Main office A = Westside branch 1030 Eastside branch L1170 2820 1490 1120 520 460 560 460 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, 260 120 110 [ 120 80 80 B = 140 60 50 and C= 70 30 40 120 70 50 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 = (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 =

The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A. Fixed- Checking accounts deposit Savings accounts accounts Main office A = Westside branch 1030 Eastside branch L1170 2820 1490 1120 520 460 560 460 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, 260 120 110 [ 120 80 80 B = 140 60 50 and C= 70 30 40 120 70 50 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 = (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 =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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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. Fixed- Checking accounts Savings accounts deposit accounts Main office 2820 1490 1120 A = Westside branch 1030 520 460 Eastside branch 1170 560 460 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, 260 120 110 120 80 80 B = 140 60 50 and C = 70 30 40 120 70 50 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 = (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 =
Transcribed Image Text:The numbers of three types of bank accounts on January 1 at the Central Bank and its branches are represented by matrix A. Fixed- Checking accounts Savings accounts deposit accounts Main office 2820 1490 1120 A = Westside branch 1030 520 460 Eastside branch 1170 560 460 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, 260 120 110 120 80 80 B = 140 60 50 and C = 70 30 40 120 70 50 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 = (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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