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Let A be the 100 by 100 matrix such that the i, j entry of A is i+j. Also, let B be the 100 by 100 matrix such that the i, j entry of B is (-1)i+). a. Let C = (A + B)B Find the entry of C in row 6, column 2 (i.e. find C6,2). b. How does the answer to a. change if B6,2 is changed to 0? (Here B6,2 means the entry of B in row 6, column 2.) Find the determinant of the

Let A be the 100 by 100 matrix such that the i, j entry of A is i+j. Also, let B be the 100 by 100 matrix such that the i, j entry of B is (-1)i+). a. Let C = (A + B)B Find the entry of C in row 6, column 2 (i.e. find C6,2). b. How does the answer to a. change if B6,2 is changed to 0? (Here B6,2 means the entry of B in row 6, column 2.) Find the determinant of the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A be the 100 by 100 matrix such that the i, j entry of A is i+j. Also, let B be the 100 by 100 matrix such that the i, j entry of B is (-1)i+). a. Let C = (A + B)B Find the entry of C in row 6, column 2 (i.e. find C6,2). b. How does the answer to a. change if B6,2 is changed to 0? (Here B6,2 means the entry of B in row 6, column 2.) Find the determinant of the matrix M whorou
Transcribed Image Text:Let A be the 100 by 100 matrix such that the i, j entry of A is i+j. Also, let B be the 100 by 100 matrix such that the i, j entry of B is (-1)i+). a. Let C = (A + B)B Find the entry of C in row 6, column 2 (i.e. find C6,2). b. How does the answer to a. change if B6,2 is changed to 0? (Here B6,2 means the entry of B in row 6, column 2.) Find the determinant of the matrix M whorou
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