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  • need solution for RD Sharma maths class 12 chapter 5 Determinants exercise Fill in the blanks question 7

need solution for RD Sharma maths class 12 chapter 5 Determinants exercise Fill in the blanks question 7

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Answer: \left | 3AB \right |=-81

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

Given: A and B are square matrix of order 3. So, n = 3

            \left | A \right |=(-1), \; \; \left | B \right |=3

Solution: Here, \left | 3AB \right |

            Here 3 is just like K. So,

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

            \left | 3AB \right |=3^{3}\times -1(3)\; \; \; \; \; \; \; \left [ n=3,\left | A \right | =-1,\left | B \right |=3\right ]

            \left | 3AB \right |=-81

So, here \left | 3AB \right |=-81

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