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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Verify that A2 = I when A = [5-46-5] - Mathematics

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Question

Verify that A2 = I when A = `[(5, -4),(6, -5)]`

Sum

Solution

A = `[(5, -4),(6, -5)]`

A2 = `[(5, -4),(6, -5)] xx [(5, -4),(6, -5)]`

= `[(25 - 24, -20 + 20),(30 - 30, -24 + 25)]`

= `[(1, 0),(0, 1)]`= I

A2 = I

∴ L.H.S. = R.H.S.

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Chapter 3: Algebra - Exercise 3.18 [Page 154]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.18 | Q 10 | Page 154
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