## Question

###### DimensionFundamental matrix spaces, rank; and nullity (parts 1 and 2) Change of basisFor each of the linear systems below_(a) Find a basis for the subspace of R3 which consists of the solutions of the linear system_ (b) Compute the dimension of the solution space.I +y - 2 = 0 21 9 + 22 =0 ~I+2I - 3y + < 21 _ 6y + 22 31 9y + 32

Dimension Fundamental matrix spaces, rank; and nullity (parts 1 and 2) Change of basis For each of the linear systems below_ (a) Find a basis for the subspace of R3 which consists of the solutions of the linear system_ (b) Compute the dimension of the solution space. I +y - 2 = 0 21 9 + 22 =0 ~I+2 I - 3y + < 21 _ 6y + 22 31 9y + 32

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