SOLUTION: A"basic row operation"on a matrix means adding a multiple of one row to another row .Consider a matrices x 5 x A= 1 3 -2 -2 -2 2 and 0 0 21 B=1-1 -14

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Question 1083189: A"basic row operation"on a matrix means adding a multiple of one row to another row .Consider a matrices
x 5 x
A= 1 3 -2
-2 -2 2
and 0 0 21
B=1-1 -14
0 4/3 4
It is given that B can be obtained from A by applying finitely many basic row operations.Then the value of x is

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
The key for solving this problem is the fact that the "basic row operations" do not change the determinant of a matrix.

So, your equation is det(A) = det(B).

Find both determinants. For A, your determinant will be linear function of x.

Then solve the corresponding linear equation for x and get the answer.