Question 12 [10 points] Suppose T: M2,2P2 is a linear transformation whose action is defined by...

 

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Question 12 [10 points] Suppose T: M2,2→P2 is a linear transformation whose action is defined by a b c d = (b+5d)x²+(-3a+c+2d)x+(c+2d) and that we have the ordered bases 00 00 B = -- [8]· 6 · [3] [:] -².4| 10 0 1 00 X, 1| for M2,2 and P2 respectively. a) Find the matrix of T corresponding to the ordered bases B and D. = 000 000 0 0 0 b) Use this matrix to determine whether T is one-to-one or onto. MDB(T): = < Select an answer >, < Select an answer > <Select an answer > T is one-to-one T is not one-to-one Question 12 [10 points] Suppose T: M2,2→P2 is a linear transformation whose action is defined by a b c d = (b+5d)x²+(-3a+c+2d)x+(c+2d) and that we have the ordered bases 00 00 B = -- [8]· 6 · [3] [:] -².4| 10 0 1 00 X, 1| for M2,2 and P2 respectively. a) Find the matrix of T corresponding to the ordered bases B and D. = 000 000 0 0 0 b) Use this matrix to determine whether T is one-to-one or onto. MDB(T): = < Select an answer >, < Select an answer > <Select an answer > T is one-to-one T is not one-to-one

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a b T M2 P defined by book onverza ereren 4 6 Basis ... View the full answer