0 votes 0 votes For which value of x, will the matrix $\begin{bmatrix} 8 &x &0 \\ 4 & 0& 2\\ 12 & 6 & 0 \end{bmatrix}$ become singular ? 12 6 0 (a) 4 (b) 6 (c) 8 (d) 12 Linear Algebra engineering-mathematics isro-mech linear-algebra + – sh!va asked Mar 7, 2017 • retagged Mar 8, 2019 by Naveen Kumar 3 sh!va 2.1k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes Answer is A) i.e. 4. In the question they gave for what value of x will the matrix is singular. Singular Matrix have always determinant equal to 0 apply determinant:- 8(0*0 - 2*6) - x(4*0 - 12*2) + 0(4*6 - 12*0) = 0 -96 + 24x = 0 x = 4 Hence Answer is A) 4. Shubhanshu answered Mar 7, 2017 Shubhanshu comment Share Follow See all 0 reply Please log in or register to add a comment.