If the value of determinant |[m,2],[-5,7]| is 31, find the value of m - Algebra

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If the value of determinant `|[m,2],[-5,7]|`is 31, find the value of m

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Solution

`|[m,2],[-5,7]|=31`

∴(m × 7) – (–5 × 2) = 31
∴7m – (–10) = 31
∴7m + 10 = 31
∴7m = 21
∴m = 3

 

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2015-2016 (March) Set C

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