Question

using property of deter.... ​

Answer 1

L.H.S

| a+b b+c c+a |

| b+c c+a a+b |

| c+a a+b b+c |

• C1 --> C1 + C2 + C3

| 2a+2b+2c b+c c+a |

| 2a+2b+2c c+a a+b |

| 2a+2b+2c a+b b+c |

• taking 2 common in C1

| a+b+c b+c c+a |

2 | a+b+c c+a a+b |

| a+b+c a+b b+c |

• C1 --> C1 - C2

| a b+c c+a |

2 | b c+a a+b |

| c a+b b+c |

• C2 --> C2 - C3 + C1
• C3 --> C3 - C1

| a b c |

2 | b c a |

| c a b |

= R.H.S

please also see the attachment