# Previous answers holtlinalg1 41028 find the null

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10. 2/2 points | Previous Answers HoltLinAlg1 4.1.028. Find the null space for A . 5 1 [5; 1] Solution or Explanation We row reduce Thus has solutions of the form and therefore A = 2 10 −3 15 1 5 null( A ) = span ~ . 2 10 −3 15 1 5 1 5 0 0 0 0 A x = 0 x = s , 5 1 null( A ) = span . 5 1
2015 3 17 UW Common Math 308 Section 4.1 11. 2/2 points | Previous Answers HoltLinAlg1 4.1.030. Find the null space for A -1 1/2 1 [-1; 1/2; 1] A = 1 2 0 −5 −8 −1 2 −2 3 null( A ) = span . . 0 ,
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2015 3 17 UW Common Math 308 Section 4.1 12. 2/2 points | Previous Answers HoltLinAlg1 4.1.032. Find the null space for A -1 0 0 1 [-1; 0; 0; 1] A = 1 0 0 1 0 8 1 0 0 0 1 0 1 0 1 1 null( A ) = span . . 0 ,
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2015 3 17 UW Common Math 308 Section 4.1 13. 2/2 points | Previous Answers HoltLinAlg1 4.1.034. Let for the matrix A Determine if the vector b is in the kernel of T Determine if the vector c is in the range of T T ( x ) = A A = , b = , c = 2 −4 0 1 9 6 3 11 2 23 The vector b is in the kernel of T The vector b is not in the kernel of T The vector c is in the range of T The vector c is not in the range of T . . . x −3 . . . . −3 , 5 2 ,
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2015 3 17 UW Common Math 308 Section 4.1 14. 2/2 points | Previous Answers HoltLinAlg1 4.1.035. Let for the matrix A Determine if the vector b is in the kernel of T Determine if the vector c is in the range of T T ( x ) = A A = , b = , c 4 2 1 3 2 7 4 2 1 3 The vector b is in the kernel of T The vector b is not in the kernel of T The vector c is in the range of T The vector c is not in the range of T . . . and x = . . . . ,
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2015 3 17 UW Common Math 308 Section 4.1 15. 2/2 points | Previous Answers HoltLinAlg1 4.1.036. Let for the matrix A Determine if the vector b is in the kernel of T Determine if the vector c is in the range of T T ( x ) = A A = , b = , c 1 2 3 4 5 6 7 8 9 1 −2 1 1 4 7 The vector b is in the kernel of T The vector b is not in the kernel of T The vector c is in the range of T The vector c is not in the range of T . . . x = . . . . , , . ,
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2015 3 17 UW Common Math 308 Section 4.1