SOLUTION: For the matrix A = (-6 3 9) ( 3 6 -2) ( 5 1 4) a. Find the determinant of the matrix AT (Transpose). b. Find the matrix of cofactors. c. Hence,find A-1(Inver

Algebra ->  Matrices-and-determiminant -> SOLUTION: For the matrix A = (-6 3 9) ( 3 6 -2) ( 5 1 4) a. Find the determinant of the matrix AT (Transpose). b. Find the matrix of cofactors. c. Hence,find A-1(Inver      Log On


   

Question 1112690: For the matrix A =
(-6 3 9)
( 3 6 -2)
( 5 1 4)
a. Find the determinant of the matrix AT (Transpose).
b. Find the matrix of cofactors.
c. Hence,find A-1(Inverse).
d. If B =
(-2 1 3)
( 3 6 -2)
( 5 1 4)
find |B|.


Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the lessons
    - Determinant of a 3x3 matrix
    - Co-factoring the determinant of a 3x3 matrix
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
     "3x3-Matrices, determinants, Cramer's rule for systems in three unknowns"