Answer

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

Updated On: 20-4-2020

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

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

126.0 K+

6.3 K+

Text Solution

Solution :

`A^2=A*A=[[3,-5],[-4,2]][[3,-5],[-4,2]]`<br>
`=[[29,-25],[-30,24]]`<br>
`A^2-5A-14I`<br>
`=[[29,-25],[-2-,24]]-[[15,-25],[-20,10]]-[[14,0],[0,14]]`<br>
`=[[0,0],[0,0]]`<br>
Zero matrix.**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**