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Write a Python program to check if a given number is a prime number || Jyoti Python Lab
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Write a Python program to check if a given number is a prime number || Jyoti Python Lab
![If a, b, c are in A. P. then determinant |[x+2, x+3, x+2a],[x+3, x+4, x+2b],[x+4, x+5, x+2c]|](http://i.ytimg.com/vi/bxjhfOHzYjE/mqdefault.jpg "If a, b, c are in A. P. then determinant |[x+2, x+3, x+2a],[x+3, x+4, x+2b],[x+4, x+5, x+2c]|")
![Prove that |[1 +a^2 -b^2, 2ab, -2b],[2ab, 1-a^2 +b^2, 2a],[2b, -2a, 1-a^2 -b^2]| = (1 + a^2 + b^2)^3](http://i.ytimg.com/vi/B7UwIYXEcX8/mqdefault.jpg "Prove that |[1 +a^2 -b^2, 2ab, -2b],[2ab, 1-a^2 +b^2, 2a],[2b, -2a, 1-a^2 -b^2]| = (1 + a^2 + b^2)^3")
![Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3](http://i.ytimg.com/vi/F6Kll3fQIB0/mqdefault.jpg "Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3")
![One root of the equation | x + a, b, c],[b, x + c, a],[c, a, x + b]| = 0 is](http://i.ytimg.com/vi/jsu2fJ_645g/mqdefault.jpg "One root of the equation | x + a, b, c],[b, x + c, a],[c, a, x + b]| = 0 is")
![Prove that |[b^2 + c^2, a^2, a^2],[b^2, c^2 + a^2, b^2],[c^2, c^2, a^2 + b^2]| = 4a^2 b^2 c^2](http://i.ytimg.com/vi/IG15iLK0PtI/mqdefault.jpg "Prove that |[b^2 + c^2, a^2, a^2],[b^2, c^2 + a^2, b^2],[c^2, c^2, a^2 + b^2]| = 4a^2 b^2 c^2")