Let A be a 2×2 matrix with real entries. Let I be the 2×2identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A2=I.Statement 1: If A=Iand A=−I, then det A=−1.Statement 2: If A=Iand A=−I, then tr(A)=0.
If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then. Which of the following does not change with time ?
If the mean deviation of the numbers 1,1+d,1+2d,…,1+100d from their mean is 255, thenthe d is equal to