Find an orthogonal basis for the column space of each matrix in Exercises 9-12. 10. 6 6 3-8 3 1 -2 6 1-4 -3

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In Exercises 11-12, a matrix in row echelon form is given. By inspec- tion, find a basis for the row space and for the column space of that matrix. 11. a. 1 0 0 0 0 0 2 1 0 b. 0 0 0 -3 1 0 0 0 0 0 0 0 0 0 0

In Exercises 11-14, B and C are bases for a vector space V. Mark each statement True or False (T/F). Justify each answer. 11. (T/F) The columns of the change-of-coordinates matrix__P__are B- C←B coordinate vectors of the vectors in C.