Question

Reduce the following matrices to its normal
form and hence find its rank
1)
1 2 1 0
3 2 1 2
2 -1 2 5
5 6 3 2
1 3 -1 -3​

Answer 1

$\huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}$

A) 1 2 1 0

=> 0 1 1 2

B) 3 2 1 2

=> 1 2 2 3

C) 2 -1 2 5

=> -1 2 2 5

D) 5 6 3 2

=> 2 3 5 6

E) 1 3 -1 -3

=> -3 -1 -1 1

• Rank are as follows:

1. 1 3 -1 -3
2. 2 -1 2 5
3. 1 2 1 0
4. 3 2 1 2
5. 5 6 3 2