Consider the matrix A = a b c d e f g h i If it is given det(A)=−3, find the determinant of D, where D = 5g   5h   5i −a  −b  −c −3d + a  −3e + b  −3f + c

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 4SE: The determinant of 22 matrix A is 3. If you switch the rows and multiply the first row by 6 and the...
Question

Consider the matrix
A =
a b c
d e f
g h i
If it is given det(A)=−3, find the determinant of D, where
D =
5g   5h   5i
−a  −b  −c
−3d + a  −3e + b  −3f + c

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