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A Matrix a of Order 3 × 3 is Such that |A| = 4. Find the Value of |2 A|. - Mathematics

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प्रश्न

A matrix A of order 3 × 3 is such that |A| = 4. Find the value of |2 A|.

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उत्तर

\[\left| KA \right| = K^n \left| A \right| \] 
Here, n is the order of A . 
\[\text{ Given: }\left| A \right| = 4\] 
\[ \Rightarrow \left| 2A \right| = 2^3 \times 4 = 32\]

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अध्याय 6: Determinants - Exercise 6.6 [पृष्ठ ९१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.6 | Q 42 | पृष्ठ ९१

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