1 votes 1 votes Shadan Karim asked Jan 4, 2019 Shadan Karim 477 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Somoshree Datta 5 commented Jan 4, 2019 reply Follow Share Answer is D? 0 votes 0 votes Shadan Karim commented Jan 4, 2019 reply Follow Share yes, please explain. 0 votes 0 votes Somoshree Datta 5 commented Jan 4, 2019 reply Follow Share Let detA be x. Now we know that detA= det$A^{T}$=x and $\left |A A^{T} \right |=\left | A \right |\left | A^{T} \right |$ So the equation reduces to a quadratic equation: $x^{2}-3x$-4=0 Solving this equation u get the value of x as -1 and 4 respectively. 2 votes 2 votes Please log in or register to add a comment.
0 votes 0 votes A and $A^T$ have same eigen values So we can write $\lambda *\lambda -3\lambda -4=0$ The characteristic equation is $\lambda^2 -3\lambda -4=0$ on solving it we get $\lambda=4, -1$ |A|=product of eigen values=-4 option D aditi19 answered Oct 22, 2019 aditi19 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes option d is the correct answer. eshita1997 answered Dec 26, 2020 eshita1997 comment Share Follow See all 0 reply Please log in or register to add a comment.