Related InterviewSolutions

• Evaluate \(\begin{vmatrix}2 &5 &8 \\ 6&10 &9\\ 4& 6& 1 \end{vmatrix}\)1. 302. 153. 244. 21
• Find the determinant of A = \(\begin{bmatrix} 2 &4 \\ 1 & 5 \end{bmatrix}\)1. 62. 43. 24. 1
• Find the determinant of A = \(\begin{bmatrix} x^2 & y^2 & -2xy\\ x & y &0\\1&1&2\end{bmatrix}\), if x + y = 0
• If \(\rm m = \left[ \begin{array}{cc} 2 &0\\ 0&1\end{array}\right] and \ n= \left[ \begin{array}{cc} 0 &1\\ -2&0\end{array}\right]\) then what is the value of the determinant of m sinθ + n cosθ 1. 12. -13. 34. 2
• Height of a triangle is decreased by 30 percent. If the net increase in the area of the triangle is of 5 percent, then by how much percentage the base of triangle is increased?1. 25 percent2. 66.67 percent3. 33.33 percent4. 50 percent
• A and B are determinants of order of 2, such that A = 3B. If |B| = 1. Find |A|1. 32. 93. 14. Can't be determined
• If A and B are square matrices of order 2 such that |A| = 2, |B| = 4 then |2 AB| is equal to - 1. 162. 243. 324. 64
• If x y z are all different and not equal to zero and \(\left| {\begin{array}{*{20}{c}} {1 + x}&1&1\\ 1&{1 + y}&1\\ 1&1&{1 + z} \end{array}} \right| = 0\) then the value of x-1 + y-1 + z-1 is equal to1. -12. - x - y - z3.  x-1y-1z-14. xyz
• If the value of the determinant \(\begin{vmatrix} 5 & \rm k\\ 3 & 3 \end{vmatrix}\)is 24, find the value of k.1. 22. 33. -34. -4
• Find the determinant of the matrix \(\begin{vmatrix} \rm x-y & \rm y-z & \rm z-x\\ \rm y-z & \rm z-x & \rm x-y \\ \rm z-x & \rm x-y & \rm y-z \end{vmatrix}\)1. x + y + z2. x2 + y2 + z23. 04. (x + y + z)2 - xyz