Question: Let V and W be vector spaces over the same field F. Suppose that Sy and B are bases for V; Sw and C are

Let V and W be vector spaces over the same field F. Suppose that Sy and B are bases for V; Sw and C are bases for W. Suppose that T: V - W is a linear transformation and idy, idw are the identity maps on V, W respectively. In the following diagram, one side of an arrow is a linear map and the other side is the matrix of the map with respect to the indicated bases. R V w.r.t. B W w.r.t. C T F idy idw G T V w.r.t. Sv W w.r.t. Sw E Based on the above diagram, select all the correct statements below. O E = G-1RF O R = G-1EF O E= GRF-1 O R = GEF-1 O E= F-1RG O R = FEG-1

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