Mathematics, 17.08.2020 23:01, edjiejwi
For parts a through f., A denotes an mxn matrix. Determine whether each statement is true or false. Justify each answer. a. A null space is a vector space. Is this statement true or false?
A. True because the null space of an mx n matrix A is a subspace of Rm
B. False, a column space is a vector space, but a null space is not a vector space
C. False, a vector space is a null space, but a null space is not necessarily a vector space
D. True because the null space of an mxn matrix A is a subspace of Rn
Answers: 3
, then![A[\alpha x+y] = \alpha A(x)+ A(y) = \alpha . 0 + 0 = 0$](/tpl/images/0723/5664/79832.png)
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For parts a through f., A denotes an mxn matrix. Determine whether each statement is true or false....
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