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Answer the following question: Evaluate |101102103106107108123| by using properties

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Question

Answer the following question:

Evaluate `|(101, 102, 103),(106, 107, 108),(1, 2, 3)|` by using properties

Sum
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Solution

Let D = `|(101, 102, 103),(106, 107, 108),(1, 2, 3)|`

By C3 – C2, we get,

D = `|(101, 102, 1),(106, 107, 1),(1, 2, 1)|`

By C2 – C1, we get,

D = `|(101, 1, 1),(106, 1, 1),(1, 1, 1)|`

= 0 .......[∵ C2 ≡ C3]

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Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(A) [Page 76]

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Balbharati Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(A) | Q II. (3) (ii) | Page 76
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