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Quantifier Let B= B[3, 4] be the following array of dimension 3 x 4, 3 5 2 1 В - 15 5 8 2 |1 5 2 5 Array B has three rows and four columns, and cach of the twelve cells of B contains an integer. The conten of the cell in row r and column e is denoted B(r, c), where 1

Quantifier Let B= B[3, 4] be the following array of dimension 3 x 4, 3 5 2 1 В - 15 5 8 2 |1 5 2 5 Array B has three rows and four columns, and cach of the twelve cells of B contains an integer. The conten of the cell in row r and column e is denoted B(r, c), where 1

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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Quantifier Let B = B[3, 4] be the following array of dimension 3 × 4, 3 5 2 1 B = 5 5 8 2 15 2 5 Array B has three rows and four columns, and cach of the twelve cells of B contains an integer. The content of the cell in row r and column e is denoted B(r, c), where 1 <r < 3 and1<¢< 4. The top-left cell is denoted B(1,1). 1. The following list contains sixteen claims. For cach of the sixteen claims in turn, determine whether the claim is true or false. If you answer true, then briefly explain why the claim is true. If you answer false, then briefly explain why the claim is falsc. 1. V rows r: B(r, 4) # 5. 2. V columns c: B(2, c) # 8. 3. 3 row r: B(r, 4) # 5. 4. 3 column c: B(2,c) + 8. 5. V rows r V columns c: B(r,c) = 5. 6. V rows r3 column c: B(r, c) = 5. 7. 3 row r V columns c: B(r, c) = 5. 8. 3 row r 3 column c: B(r, c) = 5. 9. V columns c V rows r: B(r, c) = 5. 10. V columns с Э row r: B(r,с) — 5. 11. 3 column c V rows r: B(r, c) = 5. 12. 3 column c3 row r: B(r, c) = 5. 13. V rows r 3 column c: B(r, c) = 2. 14. Э row r V oolumns c: B(т, c) + 5. 15. V columns c 3 row r: B(r,c) 7 5. 16. 3 column c V rows r: B(r,c) 1. %3D WS T At the beginning of your submission, give a table as shown here, and put the value "True" or "False" in cach box, indicating your answer to cach question. 1 2 3 4 7 8 9. 10 11 12 13 14 15 16
Transcribed Image Text:Quantifier Let B = B[3, 4] be the following array of dimension 3 × 4, 3 5 2 1 B = 5 5 8 2 15 2 5 Array B has three rows and four columns, and cach of the twelve cells of B contains an integer. The content of the cell in row r and column e is denoted B(r, c), where 1 <r < 3 and1<¢< 4. The top-left cell is denoted B(1,1). 1. The following list contains sixteen claims. For cach of the sixteen claims in turn, determine whether the claim is true or false. If you answer true, then briefly explain why the claim is true. If you answer false, then briefly explain why the claim is falsc. 1. V rows r: B(r, 4) # 5. 2. V columns c: B(2, c) # 8. 3. 3 row r: B(r, 4) # 5. 4. 3 column c: B(2,c) + 8. 5. V rows r V columns c: B(r,c) = 5. 6. V rows r3 column c: B(r, c) = 5. 7. 3 row r V columns c: B(r, c) = 5. 8. 3 row r 3 column c: B(r, c) = 5. 9. V columns c V rows r: B(r, c) = 5. 10. V columns с Э row r: B(r,с) — 5. 11. 3 column c V rows r: B(r, c) = 5. 12. 3 column c3 row r: B(r, c) = 5. 13. V rows r 3 column c: B(r, c) = 2. 14. Э row r V oolumns c: B(т, c) + 5. 15. V columns c 3 row r: B(r,c) 7 5. 16. 3 column c V rows r: B(r,c) 1. %3D WS T At the beginning of your submission, give a table as shown here, and put the value "True" or "False" in cach box, indicating your answer to cach question. 1 2 3 4 7 8 9. 10 11 12 13 14 15 16
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