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Determinants
Question
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A matrix A, of order 3 × 3, has determinant 4. Find the value of | 3 A |

Answer

We are given that | A | = 4    ...(1)

Since A is of order 3 × 3

∴ | 3 A | = 33 |A| = 27 |A|

= 27 × 4    [∵ of (1)]

= 108

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