What is the determinant of the coefficient matrix of the system {-x-y+2z=5 {3x+2y-z=3 {4x+4y-8z=-2 A. 0 B. 16 C. 18 D. 40
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
For finding the determinant of the coefficient matrix of the system
-x-y+2z=5
3x+2y-z=3
4x+4y-8z=-2
We use the matrix so a matrix will be
A={ -1 -1 2
3. 2. -1
4. 4. -8}
So the |A| or the determinant of A will be
|A|= -1(-16+4)+1(-24+4)+2(12-8)= 12-20+8
|A|= 0, option A is correct.