If the determinant of the matrix A begin bmatrix 2 3 4 1 2 2 3-18692
If the determinant of the matrix \( A =\begin{bmatrix} 2 & 3 & 4 \ 1 & 2 & 2 \ 3 & 4 & 5 \ end{bmatrix} \) is -1 and the matrix B is obtained by adding 2 times of the second row in the first row of the matrix A, then which of the following is true for the matrix B?
This multiple choice question (MCQ) is related to the book/course
vu mth501 Linear Algebra.
It can also be found in
vu mth501 Final Term - Quiz No.2.
If the determinant of the matrix \( A =\begin{bmatrix} 2 & 3 & 4 \ 1 & 2 & 2 \ 3 & 4 & 5 \ end{bmatrix} \) is -1 and the matrix B is obtained by adding 2 times of the second row in the first row of the matrix A, then which of the following is true for the matrix B?
Its determinant is -1.
Its determinant is 1.
Its determinant can not be evaluated.
The information is not sufficient to calculate the determinant.
