Question: Please help me out with this linear algebra question: Please show all your works . Q 17 suppose we have a matrix B such that

Please help me out with this linear algebra question:

Please help me out with this linear algebra question: Please show all

Please show all your works . Q 17 suppose we have a matrix B such that 2 02 5 B = -2 -5 1 -1-8 3 4 1 3 0 -7 2 a : write down all the columns in B that form a basis for the column space of B and express the remaining columns as linear combinations of these basis columns. b: Find a basis for the null space of B. c: verify the dimension theorem for B

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