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Apply the given elementary transformation of the following matrix. A = [1-13210331], 3R3 and then C3 + 2C2 - Mathematics and Statistics

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Sum

Apply the given elementary transformation of the following matrix.

A = `[(1,-1,3),(2,1,0),(3,3,1)]`, 3R3 and then C3 + 2C2

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Solution

A = `[(1,-1,3),(2,1,0),(3,3,1)]`

By 3R3, we get,

A ∼ `[(1,-1,3),(2,1,0),(9,9,3)]`

By C3 + 2C2, we get,

A ∼ `[(1,-1,3+2(-1)),(2,1,+2(1)),(9,9,+2(9))]`

∴ A ∼ `[(1,-1,1),(2,1,2),(9,9,21)]`

Concept: Elementry Transformations
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