Triangular matrices space diagonal matrix plus some elements on the upper side or lower side of the key diagonal. Below we discuss about types, interesting properties of triangle matrix. Later on we will uncover ways to determine the invertibility and also how to discover inverse of a triangle matrix v examples.

You are watching: Inverse of a lower triangular matrix

What space Triangular Matrices ?

If a square matrix has actually all zeros listed below its main diagonal entries then it is referred to as upper triangular procession and if the square matrix has actually all zeros over the main diagonal entries then it is called lower triangle matrix. Therefore, a triangular matrix has either all zero entries above or listed below main diagonal.

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Examples of upper Triangular Matrix

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j" title="i > j" class="latex">.If a square procession
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In the next article, we will discuss some interesting way to fix Ax = b making use of triangular matrices.