# Recent questions tagged engineering-mathematics

Let A be a 3x3 real matrix. Suppose 1 and -1 are two of the three Eigen values of A and 18 is one of the Eigen values of $A^2 + 3A$. Then. a) Both A and $A^2 + 3A$ are invertible b) $A^2 + 3A$ is invertible but A is not c) A is invertible but $A^2 + 3A$ is not d) Both A and $A^2 + 3A$ are not invertible
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
Consider R is binary relation on A×B where cardinality of set A is 5 and that of B is 6 then,total numbers of possible relation are ?? My answer $2^{900}$
Consider R is binary relation on A×B where cardinality of set A is 5 and that of B is 6 then total numbers of possible relation are? My answer is $2^{900}$