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प्रश्न
Check whether the following matrix is invertible or not:
`(("sec" theta , "tan" theta),("tan" theta,"sec" theta))`
उत्तर
Let A = `(("sec" theta , "tan" theta),("tan" theta,"sec" theta))`
Then, |A| = `|("sec" theta , "tan" theta),("tan" theta,"sec" theta)| = "sec"^2theta - "tan"^2theta = 1 ≠ 0`
∴ A is a non - singular matrix.
Hence, A-1 exists.
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