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Find inverse, by elementary row operations (if possible), of the following matrices [1-3-26]

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Question

Find inverse, by elementary row operations (if possible), of the following matrices

`[(1, -3),(-2, 6)]`

Sum
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Solution

Let A = `[(1, -3),(-2, 6)]`

|A| = 1 × 6 – (– 3)(– 2)

= 6 – 6

= 0

|A| = 0

So A is not invertible.

Hence, inverse of `[(1, -3),(-2, 6)]` is not possible.

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Chapter 3: Matrices - Exercise [Page 57]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 3 Matrices
Exercise | Q 37.(ii) | Page 57

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