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Apply the given elementary transformation of the following matrix. Transform [1-12213324] into an upper triangular matrix by suitable column transformations. - Mathematics and Statistics

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Sum

Apply the given elementary transformation of the following matrix.

Transform `[(1,-1,2),(2,1,3),(3,2,4)]` into an upper triangular matrix by suitable column transformations.

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Solution

C1 C1 − `2/3` C3

C2 → C2 − `1/3` C3

`[(-1,-5/3,2),(0,0,3),(1/3,2/3,4)]`

C1 → 3C1

 C2 → 3C2

`[(-1,-5,2),(0,0,3),(1,2,4)]`

C1 C1 − `1/2` C2

`[(3/2,-5,2),(0,0,3),(0,2,4)]`

C2 → C2 − `1/2` C3

`[(3/2,-6,2),(0,-3/2,3),(0,0,4)]`

An upper triangular matrix.

Concept: Elementry Transformations
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