SOLUTION: Suppose A and B are nxn matrices. Which of the following statements is true? 1. If B is obtained from a by tripling the first row of A then det (B) = {{{3^n}}} det (A). 2. If B i

Algebra ->  Matrices-and-determiminant -> SOLUTION: Suppose A and B are nxn matrices. Which of the following statements is true? 1. If B is obtained from a by tripling the first row of A then det (B) = {{{3^n}}} det (A). 2. If B i      Log On


   

Question 721601: Suppose A and B are nxn matrices. Which of the following statements is true?
1. If B is obtained from a by tripling the first row of A then det (B) = 3%5En det (A).
2. If B is obatinde by adding 3 times the first row of A to the last row of A then det (B) = +3%5En+ det (A).
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Neither.
1. det(B) = 3*det(A)
2. det(B) = det(A)

P.S. If #1 had been "... tripling each row ..." instead of "... tripling the first row ...", then the answer would be:
det (B) = 3%5En det (A)