Etermine which of the following subsets of R3×3 are subspaces of R3×3. 1. The singular 3×3 matrices 2. The 3×3 matrices whose entries are all integers 3. The symmetric 3×3 matrices 4. The 3×3 matrices with all zeros in the first row 5. The invertible 3×3 matrices 6. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) 7. The upper triangular 3×3 matrices 8. The 3×3 matrices in reduced row-echelon form

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Carlos spent 1 1/4 hours doing his math homework he spent 1/4 of his time practicing his multiplication facts how many hours to carlos been practicing his multiplication facts