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Mathematics for Computer Scientists 2 (COMP1045 UNMC) (SPM1 24-25)

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Given the linear system A,  what is the correct u33 in LU factorization?

Click here to find the formula which would be helpful to calculate u33

A = 

  2

  1

 1

 4 1 0
 -2 2 5

, L =

 1 0 0
 2 1 0
 -1 -3 1

, and U =

 2 1 1
 0 -1 -2
 0 0 u33

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What is the inverse of [[1, 2], [3, 4]]?
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The final step of Gaussian elimination can produce:
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Row echelon form has which properties?
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Which set of vectors is linearly independent?
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Given the linear system A,  what is the correct u33 in LU factorization?

Click here to find the formula which would be helpful to calculate u33

A = 

  2

  1

 1

 4 1 0
 -2 2 9

, L =

 1 0 0
 2 1 0
 -1 -3 1

, and U =

 2 1 1
 0 -1 -2
 0 0 u33

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Cramer's Method uses which matrix property to solve linear systems?
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Laplace expansion is used to calculate which matrix property?
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Given the linear system A,  what is the correct u33 in LU factorization?

Click here to find the formula which would be helpful to calculate u33

A = 

  2

  1

 1

 4 1 0
 -2 2 7

, L =

 1 0 0
 2 1 0
 -1 -3 1

, and U =

 2 1 1
 0 -1 -2
 0 0 u33

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For a homogeneous system to have non-trivial solutions, the rank must be:
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