SOLUTION: if A is a square matrix of order 3 and |A| = 64 find |2A| i like to know if my solution is correct A * 64 = A power 3 64 = A power 2 A = 8. therefore |2A| = 2 po

Algebra ->  Matrices-and-determiminant -> SOLUTION: if A is a square matrix of order 3 and |A| = 64 find |2A| i like to know if my solution is correct A * 64 = A power 3 64 = A power 2 A = 8. therefore |2A| = 2 po      Log On


   

Question 1024739: if A is a square matrix of order 3 and |A| = 64 find |2A|
i like to know if my solution is correct
A * 64 = A power 3
64 = A power 2
A = 8. therefore |2A| = 2 power 3 * 8 = 8 * 8 = 64. |2A| = 64
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If abs%28A%29+=+64 and A is order 3, then abs%282A%29+=+2%5E3abs%28A%29+=+8%2A64+=+512.
For a square matrix A, abs%28A%29+=+abs%28A%5ET%29, so if abs%28A%29+=+225 then abs%28A%5ET%29+=+225 also.