find (2a12 + 7a14)C12 + (2a22 + 7a24)C22 + (2a32 + 7a34)C32 + (2a42 + 7a44)C42 . without computing the cofactors entering this expression. Here aij is the entry of matrix A standing in the i-th row and j-th column of the matrix A; Cij is the cofactor of aij .

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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find
(2a12 + 7a14)C12 + (2a22 + 7a24)C22 + (2a32 + 7a34)C32 + (2a42 + 7a44)C42 .
without computing the cofactors entering this expression. Here aij is the
entry of matrix A standing in the i-th row and j-th column of the matrix
A; Cij is the cofactor of aij .

 

Please ee image below for matrix A

 

Please show full work.

 

Thank you!

1 2 3 4
1 4 4 5
1 2 5 5
A =
1 2 3 8
find
(2a12 + 7a14)C12 + (2a22 + 7a24)C22 + (2a32 + 7a34)C32 + (2a42 + 7a44)C42 -
is the
without computing the cofactors entering this expression. Here
entry of matrix A standing in the i-th row and j-th column of the matrix
A; Cij is the cofactor of
Aij
Aij.
Transcribed Image Text:1 2 3 4 1 4 4 5 1 2 5 5 A = 1 2 3 8 find (2a12 + 7a14)C12 + (2a22 + 7a24)C22 + (2a32 + 7a34)C32 + (2a42 + 7a44)C42 - is the without computing the cofactors entering this expression. Here entry of matrix A standing in the i-th row and j-th column of the matrix A; Cij is the cofactor of Aij Aij.
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