What is the (3,1) entry in the product 2 3 7 3 HA -2 0 4 5 6 -3 0 2 ? Enter your answer in the box:

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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Question
What is the (3,1) entry in the product
1
2
-2 0
5
6
3
4
-3
7 3
0
2
1
-5
? Enter your answer in the box:
Transcribed Image Text:What is the (3,1) entry in the product 1 2 -2 0 5 6 3 4 -3 7 3 0 2 1 -5 ? Enter your answer in the box:
Expert Solution
Step 1: Product of given matrices

open square brackets table row 1 2 3 row cell negative 2 end cell 0 4 row 5 6 cell negative 3 end cell end table close square brackets open square brackets table row 7 3 row 0 2 row 1 cell negative 5 end cell end table close square brackets
equals open square brackets table row cell left parenthesis 1 cross times 7 right parenthesis plus left parenthesis 2 cross times 0 right parenthesis plus left parenthesis 3 cross times 1 right parenthesis end cell cell left parenthesis 1 cross times 3 right parenthesis plus left parenthesis 2 cross times 2 right parenthesis plus left parenthesis 3 cross times negative 5 right parenthesis end cell row cell left parenthesis negative 2 cross times 7 right parenthesis plus left parenthesis 0 cross times 0 right parenthesis plus left parenthesis 4 cross times 1 right parenthesis end cell cell left parenthesis negative 2 cross times 3 right parenthesis plus left parenthesis 0 cross times 2 right parenthesis plus left parenthesis 4 cross times negative 5 right parenthesis end cell row cell left parenthesis 5 cross times 7 right parenthesis plus left parenthesis 6 cross times 0 right parenthesis plus left parenthesis negative 3 cross times 1 right parenthesis end cell cell left parenthesis 5 cross times 3 right parenthesis plus left parenthesis 6 cross times 2 right parenthesis plus left parenthesis negative 3 cross times negative 5 right parenthesis end cell end table close square brackets
equals open square brackets table row 10 cell negative 8 end cell row cell negative 10 end cell cell negative 26 end cell row 32 42 end table close square brackets

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