Question

1 -1 2
2 1 3
3 2 4
Transform into an upper triangular matrix by suitable column transformation
plz fastly give me ans. plese ​

Answer 1

Given:

1 -1 2

2 1 3

3 2 4

To find:

Transform into an upper triangular matrix by suitable column transformation

Solution:

From given, we have,

1 -1 2

2 1 3

3 2 4

R2 ← R2 - 2 × R1

1 -1 2

0 3 -1

3 2 4

R3 ← R3 - 3 × R1

1 -1 2

0 3 -1

0 5 -2

R3 ← R3 - 1.6667 × R2

1 -1 2

0 3 -1

0 0 -0.3333

∴ U =

1 -1 2

0 3 -1

0 0 -0.3333

Hence  the required upper triangular matrix.