Question: Consider the two linear functions h: R3 P2 and g: P2 M2Ã2 given as here. Use these bases for the spaces. (a) Give the formula

Consider the two linear functions h: R3 †’ P2 and g: P2 †’ M2Ã—2 given as here.

Use these bases for the spaces.

Consider the two linear functions h: R3 †’ P2 and

(a) Give the formula for the composition map g —¦ h: R3 †’ M2Ã—2 derived directly from the above definition.
(b) Represent h and g with respect to the appropriate bases.
(c) Represent the map g —¦ h computed in the first part with respect to the appropriate bases.
(d) Check that the product of the two matrices from the second part is the matrix from the third part.

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