Question: 4. Consider the linear transformation T : R2 > R3 for which 1 3 b) Using additivity and homogeneity, nd TE?) from 5: : 0170';

4. Consider the linear transformation T : R2 > R3
4. Consider the linear transformation T : R2 > R3 for which 1 3 b) Using additivity and homogeneity, nd TE?) from 5: : 0170'; + 0252'. C) Repeat parts a) and b) to nd 161 and 162 such that 5; : k117i+k217, then nd TEE). (1) State the standard matrix for T. e) Find the image of 37 = (4) under T. a) Let i7; = ( 1 ) and i; = (2). Find cl and C2 such that E: = clf+ 02%;. 5

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