Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 29-5-2021

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

2.0 K+

200+

Text Solution

Answer :

N//ASolution :

`Delta = |{:(1,,1,,1),(a,,b,,c),(bc+a^(2),,ac+b^(2),,ab+c^(2)):}|` <br> ` |{:(1,,1,,1),(a,,b,,c),(bc,,ac,,ab):}|+|{:(1,,1,,1),(a,,b,,c),(a^(2),,b^(2),,b^(2)):}|` <br> `" Now " |{:(1,,1,,1),(a,,b,,c),(bc,,ac,,ab):}|` <br> `=(1)/(abc) |{:(a,,b,,c),(a^(2),,b^(2),,c^(2)),(abc,,abc,,abc):}|" "underset("a,b,c respectively]")("[Multiplying "C_(1),C_(2),C_(3)" by")` <br> `=|{:(a,,b,,c),(a^(2),,b^(2),,c^(2)),(1,,1,,1):}|` <br> `=|{:(1,,1,,1),(a,,b,,c),(a^(2),,b^(2),,c^(2)):}|` <br> `rArr Delta =2 |{:(1,,1,,1),(a,,b,,c),(a^(2),,b^(2),,c^(2)):}| = 2(a-b)(b-c)(c-a)`Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | determine 11 CBSE square and + c square equal to twice of right 1 a b c plus a square AC Plus sum of two determinants a |

01:00 - 01:59 | b c AC Les it will be one ABC 111 |

02:00 - 02:59 | Koi han APC outside inside Vihar will multiply column 1 by a column to bi bi and columns a square and a b c ABC ABC b |

03:00 - 03:59 | inside determinant a square b square retirement to change R1 in -11 |

04:00 - 04:59 | a square b square now I will change now I have 111 and first love |

05:00 - 05:59 | determinants class 11 a b c square b square c square determining which was again same to come sui have price of price of ABC square now and again and |

06:00 - 06:59 | so are two changes to 8 and 2 will have to article will come Kolam Kolam we have |

07:00 - 07:59 | now we expanded as you got 20 so now we have to value who are outside b square how we can take Amla |

08:00 - 08:59 | have to test B minus in C plus and minus C minus free - 1 Oz we have remained - into C plus minus |

09:00 - 09:59 | 3 minus into minus into minus and equal and we have remind we have to minus 1 minus b in to cm |

**Definition and Determinant of order 1 order 2**

**Determinant of order 3**

**Determinant calculation by sarrus diagram**

**Determinant of matrix order >=4**

**Definition and example**

**Definition**

**Let A be a square matrix of order n; then the sum of the product of elements of any row (column) with their cofactors is always equal to `|A|`**

**Let A be a square matrix of order n; then the sum of the product of elements of any row (column) with the cofactors of the corresponding elements of some other row (column) is 0.**

**Let A be a square matrix of order n then `|A| = |A^T|`**

**Let `A=[a_(ij)]` be a square matrix of order `n>=2` and let B be a matrix obtained from A by interchanging any two rows (columns) of A then `|B|=-|A|`**