Linear Algebra
Q42.
A function f(x) is continuous in the interval [0,2]. It is known that f(0)=f(2)=-1 and f(1)=1. Which one of the following statements must be true?Q43.
What is the matrix that represents rotation of an object by \theta^0 about the origin in 2D?Q44.
Consider the following matrix.\begin{pmatrix} 0 & 1 & 1 & 1\\ 1& 0& 1 & 1\\ 1& 1 & 0 & 1 \\1 & 1 & 1 & 0 \end{pmatrix}The largest eigenvalue of the above matrix is __________.Q45.
Let X be a square matrix. Consider the following two statements on X. I. X is invertible II. Determinant of X is non-zero Which one of the following is TRUE?