Identity Matrix from Upper Triangular Matrix/Examples
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Examples of Use of Identity Matrix from Upper Triangular Matrix
Arbitrary Matrix 1
Let $\mathbf A$ be the matrix defined as:
- $\mathbf A = \begin {bmatrix}
1 & 1 & 1 & 1 \\ 0 & 2 & 2 & 2 \\ 0 & 0 & 3 & 4 \\ \end {bmatrix}$
is row equivalent to the reduced echelon matrix:
- $\mathbf E = \begin {bmatrix}
1 & 0 & 0 & -\dfrac 1 2 \\ 0 & 1 & 0 & \dfrac 1 6 \\ 0 & 0 & 1 & \dfrac 4 3 \\ \end {bmatrix}$