MATH 1004 Study Guide - Quiz Guide: Coordinate Vector, Linear Map, Free Variables And Bound Variables

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: All

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Name ___________________ student #_________________: let, show that is a subspace of. Ans: any vector in can be expressed as. , hence a subspace: find a basis for. Since all3 columns have pivot position, the vectors. Form a basis for: what is the dimension of. Ans: 3: let be a basis of. Ans: be a matrix: let, what is the minimum value of nullity of. Ans: total # of columns is 7 and the maximum # of linearly independent columns is 5, hence minimum value of nullity of a is 2: what is the nullity of. Ans: 3: (a) let be a linear transformation. Ans: under the transformation rotate points about origin through an angle of radians. 2 (c) [4] let be a linear transformation s. t. So: let be a linear transformation such that (a) give a matrix s. t. for any.