Obtain the smith normal form and rank of the matrix. A = [1 1 2 3 450
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![Obtain the smith normal form and rank
of the matrix.
2 3
A = [1 ² 8]
450](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c428f8d-8cd7-4fed-86e0-6975d5b9e805%2Fe206538f-5420-4dcf-8ca3-730fcc97da97%2Fmmq63n_processed.png&w=3840&q=75)
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- Q4.2 1-17/18A nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) XY A 3 3 9 B 1 3 C 2 1 2 D 4 2 8 E 5 4 ΣXY =42 Fill in the missing values in the X² column of the following table, and then calculate ΣX². Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) X² A 3 3 9 B 1 3 1 C 2 1 D 4 2 16 E 5 4 ΣX² =55 Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Child Hours of TV Watched (X)…2.29 Check to see if the following [Q] is nonsingular, and if it is, construct the positive matrix associated with it: [Q] = 10 07 012 1
- 2.2.6 Let a 0 be a real number. Show that the following matrix is invertible, and find its inverse: 1 01 a 1 0.Give the matrix X such that 1 0. 3. -2 X = 0. -5 .Type DNE 4. 3. -5 1 0. 0. if such a matrix does not exist. X =Find an LU factorization of the matrix A (with L unit lower triangular). 444 L U =
