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2. [5 marks] Using matrix B, answer the following: (a) The columns of B are: LI / LD. (circle the correct response) (b) The rank of B is: (c) What is the basis for the column-space of B? (d) Does basis{ColB} also form a basis for R? response) YES / NO (circle the correct

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Beverley Smith
Beverley SmithLv2
18 May 2018
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1. [5 marks) Using matrix A, answer the following: (a) The columns of A are: LI / LD. (circle the correct response) (b) The rank of A is: (c) What is the basis for the column-space of A?

4. (12 points) Let the matrix A and its reduced row echelon form R be given by the following. A= [ 1 -2 2 -3 1 -2 4 -1 4 1 -3] [1001 1] -4 0 0 1 0 1 1 7 -1 0 0 1 1 -1 | = R. (a) Find a basis for the column space of A. (b) Find a basis for the row space of A. (c) Find a basis for the null space of A. (d) Verify that the dimension of the column space of A plus the dimension of the null space of A is equal to the number of columns of A.

For each of the following questions, circle the correct answer. Each question has exactly one correct answer. 4 marks for a correct answer, 0 for no answer or a wrong answer. No partial credit. You don't need to justify your answers in Part A. et-1-1 1. lim 1+0 22 A. 0 B. C. -1 D. 1 E. - F. undefined

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