SOLUTION: suppose A is a 3x3 matrix such that det(A)= 4. Then det(A^3)is equal to ? answer 1)= 2 SINCE A^3 = 4 A^3X2 = 2^2X3 THEREFORE A^6 = 2^6 HENCE, A=2 OR .... answer

Algebra ->  Matrices-and-determiminant -> SOLUTION: suppose A is a 3x3 matrix such that det(A)= 4. Then det(A^3)is equal to ? answer 1)= 2 SINCE A^3 = 4 A^3X2 = 2^2X3 THEREFORE A^6 = 2^6 HENCE, A=2 OR .... answer       Log On


   

Question 843475: suppose A is a 3x3 matrix such that det(A)= 4. Then det(A^3)is equal to ?
answer 1)= 2
SINCE
A^3 = 4
A^3X2 = 2^2X3
THEREFORE A^6 = 2^6
HENCE, A=2
OR ....
answer 2)= 64
SINCE A^3 = 4^3 = 64
I AM NOT SURE IF ANSWER 1 OR ANSWER 2 IS CORRECT PLEASE HELP!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
By the matrix power theorem,
abs%28AB%29=abs%28A%29abs%28B%29
So by extension,
abs%28A%5E3%29=%28abs%28A%29%29%5E3=4%5E3=64