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provide solution for RD Sharma maths class 12 chapter 5 Determinants exercise  Fill in the blanks question 6

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Answer: \left | 5A \right |=125

Hint: Here, we use basic concept \left | KA \right |=K^{n}\left | A \right |

Given: Here, A is 2\times 2 matrix

            So, n = 2

            \left | A \right |=5

Solution: Here, n=2 and \left | A \right |=5

                So, \left |5 A \right |=?

So, here 5 is just like k

                \left |K A \right |=K^{n}\left | A \right |

                \left |5 A \right |=5^{2}\times 5\; \; \; \; \; \; \; \; \left [ K=5,\left | A \right |=5,n=2 \right ]

                \left |5 A \right |=125

                \left |5 A \right | is equal to 125.

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