Transpose of a transpose
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(A^T)^T=A; reverts to same matrix
Inverse of elementary matrix row multiplication
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1 / k (e.g. if the row is multiplied by 2, the inverse multiplication is 1/2)
Coefficient matrix
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a matrix that contains only the coefficients of a system of
equations
Elementary Row Operations
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1. (Replacement) Replace one row by the sum of itself and a multiple of
another row.
2. (Interchange) Interchange two rows
3. (Scaling) Multiply all entries in a row by a nonzero constant
Uniqueness of the reduced echelon form
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Give this one a try later!
(A^T)^T=A; reverts to same matrix
Inverse of elementary matrix row multiplication
, Give this one a try later!
1 / k (e.g. if the row is multiplied by 2, the inverse multiplication is 1/2)
Coefficient matrix
Give this one a try later!
a matrix that contains only the coefficients of a system of
equations
Elementary Row Operations
Give this one a try later!
1. (Replacement) Replace one row by the sum of itself and a multiple of
another row.
2. (Interchange) Interchange two rows
3. (Scaling) Multiply all entries in a row by a nonzero constant
Uniqueness of the reduced echelon form
Give this one a try later!
