# Previous answers holtlinalg1 31016 determine if the

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5. 5/5 points | Previous Answers HoltLinAlg1 3.1.016. Determine if the given function is 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 9 [0,-4,0; 0, 0, 9] If not, explain why not. T ( x 1 , x 2 , x 3 ) = ( 4 x 2 , 9 x The function is a linear transformation. The function is not a linear transformation. T ( x ) = A x A = 3 ) . , f ). , f ). c , d ). c , d ).
Solution or Explanation Linear transformation, with 6. 2/2 points | Previous Answers HoltLinAlg1 3.1.022. Let for the given matrix A . Determine if T is one-to-one and if T is onto. T ( x ) = A A = 5 3 20 12 Solution or Explanation We consider and row-reduce the corresponding augmented matrix: If there does not exist a unique solution x to A x = b . By The Big Theorem - Version 2, T is neither one-to-one nor onto. A = . 0 4 0 0 0 9 x , 2 2
7. 2/2 points | Previous Answers HoltLinAlg1 3.1.025. Let for the given matrix A . Determine if T is one-to-one and if T is onto.
8. 2/2 points | Previous Answers HoltLinAlg1 3.1.028. Let for the given matrix A . Determine if T is one-to-one and if T is onto. Solution or Explanation We consider and row-reduce the corresponding augmented matrix: Since there exists a unique solution x to A x = b . By The Big Theorem - Version 2, T is both one-to-one and onto.