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Find an explicit description of Nul A by listing vectors that span the null space. 1 3 ^-[98] A = 0-3 0 50 A spanning set for Nul A is (Use a comma to separate answers as needed.)

Prove Theorem 3 as follows: Given an mxn matrix A, an element in Col A has the form Ax for some x in R. Let Ax and Aw represent any two vectors in Col A. a. Explain why the zero vector is in Col A. b. Show that the vector Ax+ Aw is in Col A. c. Given a scalar c, show that c(Ax) is in Col A. B I U SI 블로. EE E X₂ x² ……... Insert Formula

Determine if w= 5 1 is in Nul A, where A = 1 4 -4 -3. - 3 5 01 - -9 2 4 Is w in Nul A? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) OA. Yes, because Aw= B. No, because Aw=

Find an explicit description of Nul A by listing vectors that span the null space. 1-2 0-3 0 01-50 A = 0 0 00 0 1 A spanning set for Nul A is (Use a comma to separate answers as needed.)