Matrices and Linear Algebra help?

[orgekas]

Assume that det(B) = 12.

Assume that the matrix A is found from B by doing the following operations. (Note that Ri= row i)


1) Swap R2 and R3 of B to obtain B1.

2)Multiply R3 of B1 by 2 to obtain B2.

3)Replace R5 of B2 with (1/4)*R5 + 3*R1 to get B3.

4)Divide R2 of B3 by 3 to obtain A

[h=1]State the determinant of each of the matrices B1,B2,B3 and A?[/h]

 

[Deleted member 4993]

Assume that det(B) = 12.

Assume that the matrix A is found from B by doing the following operations. (Note that Ri= row i)


1) Swap R2 and R3 of B to obtain B1.

2)Multiply R3 of B1 by 2 to obtain B2.

3)Replace R5 of B2 with (1/4)*R5 + 3*R1 to get B3.

4)Divide R2 of B3 by 3 to obtain A

State the determinant of each of the matrices B1,B2,B3 and A?

Start with realizing that step 1 does not change the determinant of the matrix

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[Ishuda]

Assume that det(B) = 12.

Assume that the matrix A is found from B by doing the following operations. (Note that Ri= row i)


1) Swap R2 and R3 of B to obtain B1.

2)Multiply R3 of B1 by 2 to obtain B2.

3)Replace R5 of B2 with (1/4)*R5 + 3*R1 to get B3.

4)Divide R2 of B3 by 3 to obtain A

State the determinant of each of the matrices B1,B2,B3 and A?

If you don't know how the change in the value of the determinate is related to elementary row and column operations maybe the following will help
http://thejuniverse.org/PUBLIC/LinearAlgebra/LOLA/detDef/ops.html