Answer

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

Updated On: 21-4-2021

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

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

5.3 K+

200+

Text Solution

Answer :

4Solution :

`|"adj "A^(-1)|=|A^(-1)|^(2)=1/(|A|^(2))` <br> `implies |("adj "A^(-1))^(-1)|=1/(|"adj "A^(-1)|)` <br> `=|A|^(2)=2^(2)=4`Transcript

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

00:00 - 00:59 | hello everybody lesson this question in this question we are given a square matrix of order 3 such that determinant of a is equal to 2 then we have to find the value of this expression to the solution to solve this question we should know that determinant of adjoint a inverse is equal to determinant of a inverse to the power 2 we should know that and we can also write this as OK read write down the inverse into the denominator so we can write this like this ok send the question we have to find the value of determinant of adjoint and Inverse |

01:00 - 01:59 | whole inverse so we can also write this will bring this inverse down the denominator if we can write this one by determinant of adjoint invoice like this from the above equation we already calculate the value of adjoint determinant of adjoint and Inverse to substitute this value over the test will become one by one by determinant of a to the power 2 the determinant of a 2002 will go up we can write this determinant of a two hour to in the question we already given the value of determinant of a equal to 2 so we can and 22 power to it will be equal to 4 so |

02:00 - 02:59 | the answer is 4 |

**Definitions; matrix representation; rows; column or general element**

**Row matrix and column matrix**

**Square matrix and diagonal matrix**

**Scalar matrix and identity matrix**

**Null matrix upper triangular matrix and lower triangular matrix**

**Symmetric matrix**

**skew symmetric matrix**

**Let `A` and `B` be symmetric matrices of same order. Then `A+B` is a symmetric matrix, `AB-BA` is a skew symmetric matrix and `AB+BA` is a symmetric matrix**

**Every matrix can be represented as a sum of symmetric and skew symmetric matrices**

**Singular matrix and Non-Singular Matrix**