1 votes 1 votes $M$ is a square matrix of order $’n’$ and its determinant value is $5.$ If all the elements of $M$ are multiple by $2,$ its determinant value becomes $40.$ The value of $’n’$ is $2$ $3$ $5$ $4$ Linear Algebra nielit2017oct-assistanta-cs engineering-mathematics linear-algebra matrix determinant + – admin asked Apr 1, 2020 • retagged Oct 23, 2020 by Krithiga2101 admin 1.5k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
5 votes 5 votes $\left | k\times A_{n\times n} \right |=k^{n}\times\left | A_{n\times n} \right |$ (Reference: Determinant when multiplying a matrix by a constant) $\therefore$ Let the original value of determinant be $\Delta$ i.e. $\Delta=5$ When each element of the matrix is multiplied by $2$, the resultant determinant becomes $40$ $\therefore$ $2^{n}\times 5=40 \Rightarrow 2^{n}=8 \Rightarrow n=3$ Option B is correct. haralk10 answered Apr 1, 2020 haralk10 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Option B.. The order of matrix is 3x3 matrix. DIBAKAR MAJEE answered Apr 24, 2020 DIBAKAR MAJEE comment Share Follow See all 0 reply Please log in or register to add a comment.