Mathematics for Computer Scientists 2 (COMP1045 UNMC) (SPM1 24-25)
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If rank(A) = rank(A|b) < n, the system is:
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LU factorization is used to:
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For a compatible system, rank(A) = n implies:
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A system with more equations than variables, while the rank of system is equal to number of variables, is called:
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In a system of linear equations, if the rank of complete matrix is greater than the rank of coefficient matrix, the system has:
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Gaussian elimination and LU factorization are equivalent in that:
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If rank(A) ≠ rank(A|b), the system is:
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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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What is the determinant of the matrix [[1, 0, 0], [0, 2, 0], [0, 0, 3]]?
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The rank of a matrix is the number of:
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