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Check whether the following matrix is invertible or not: (1111) - Mathematics and Statistics

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Question

Check whether the following matrix is invertible or not:

`((1,1),(1,1))`

Sum

Solution

Let A = `((1,1),(1,1))`

Then, |A| = `|(1,1),(1,1)| = 1 - 1 = 0`

∴ A is a singular matrix.

Hence, A-1 does not exist.

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Elementry Transformations
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Chapter 2: Matrics - Miscellaneous exercise 2 (A) [Page 52]

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