高等代数与解析几何英文习题高等代数与解析几何英文习题1. (Feb. 28) Is a basis for the linear space of all matrices?2. (Mar. 1)Let . Find vectors and that are both orthogonal to and to each other.3. (Mar. 4)Let be a basis for a linear space and let be a subspace of . Is it necessarily true that a basis for is a subset of ? Why?4. (Mar. 7)In (1)-(2) determine which of the given functions are inner products on where and (1) ;(2) .5. (Mar. 8) In Exercises (1)-(2) determine whether