kindly answer with detailed explanation -(000).linear image F: R² → R³ satisfies F ² (¹₂)7: Consider the base uB =C =(2) and F (3) ==products is the matrix of F with respect to the standard bases in R2 and R³, A, B, C or D?1 0 020-GD6D+D( (9)A = 0 1 00300011:) (11101 1 11 101002003200300=12in R3 and the base v=3³)=- (0)(69)21 1203--(:D (DGD:) IG= 1 10300 0 0in R². The3 Which of the following

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-(000). linear image F: R² R³ satisfies F ² (¹₂) F (²) - (²3) = products is the matrix of F with respect to the standard bases in R² and R³, A, B, C or D? 7: Consider the base u A = B = 1 0 0 0 0 D= :) ( :) ( 1 0 01 1 1 1 1 1 0 20 3 20 03 0 -1 1 1 1 20 --(HD) CD C = 1 1 03 1 00 00 0 1 2 in R3 and the base v= 2 and F :) 3 ³) GD (69) 2 1 1 20 --69690) :) ( IG 1 10 03 00 00 = - ((()) . 3 in R². The 3 Which of the following