# The function is a linear transformation the function

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T ( u 1 ) = , T ( u 2 ) = 3 1 2 1 1 4 T ( 3 u 1 2 u 2 ). T ( 3 u 1 2 u 2 ) = . 2 =
If not, explain why not. c , d ). c , d ). , c ). , c ).
Solution or Explanation Linear transformation, with A = . 5 1 3 7
The function is a linear transformation. The function is not a linear transformation. If so, identify the matrix A such that (If the function is not a linear transformation, enter DNE into any cell.) T ( x 1 , x 2 ) = ( 5 x 1 + x 2 , 3 x 1 + 7 x 2 ) .
5. –/5 pointsHoltLinAlg1 3.1.016. Determine if the given function is a linear transformation. The function is a linear transformation. The function is not a linear transformation. If so, identify the matrix A such that (If the function is not a linear transformation, enter DNE into any cell.) [0,-4,0; 0, 0, 8] If not, explain why not. The function is a linear transformation. The function is not a linear transformation, since there exist numbers a , b , c , d , e , and f such that T ( a + d , b + e , c + f ) T ( a , b , c ) + T ( d , e The function is not a linear transformation, since there exist numbers a , b , c , d , e , and f such that T ( a + d , b + e , c + f ) = T ( a , b , c ) + T ( d , e The function is not a linear transformation, since there exist numbers a , b , c , and d such that T ( a ( b , c , d )) aT ( b , The function is not a linear transformation, since there exist numbers a , b , c , and d such that T ( a ( b , c , d )) = aT ( b , , f ). , f ). c , d ). c , d ).
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