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Please solve RD Sharma class 12 chapter 5 Determinants exercise Fill in the blanks question 5 maths textbook solution

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Answer: R-\left | 1 \right |

Hint: Here, we use basic concept of non-singular matrix

Given:  A=\begin{bmatrix} a & 2\\ 2&4 \end{bmatrix} is non-singular

Solution: Here, A is non-singular

                So, \left | A \right |\neq 0

                \begin{bmatrix} a & 2\\ 2&4 \end{bmatrix}\neq 0

                (a(4))-(2)(2)\neq 0

                4a-4\neq 0

                4a\neq 4

                a\neq 1

So, a should be in R-\left | 1 \right |

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