{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

jerri-1-6-1

# jerri-1-6-1 - Section 1.6 Transforming a matrix to Reduced...

This preview shows pages 1–4. Sign up to view the full content.

Section 1.6 Transforming a matrix to Reduced Echelon Form The size of a matrix is mXn where m is the number of rows and n is the number of columns. Example: 123 456 789 10 11 12 13 14 15 is a 5 X 3 matrix. Theorem: Let A be a mXn matrix (m rows and n columns). There is a unique reduced echelon mXn matrix B such that A can be transformed to B by a series of elementary row operations i.e. any matrix can be transformed to a unique reduced echelon matrix.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example : Use elementary row operations to get to reduced echelon form. 000 05 7 9 012 1 0 1 0 12 3 0 047   −−  : Solution 13 R R 12 3 0 047 1 0 1 0 7 9 1 R 1 2 300 4 7 1 01 0 000057 9 2 RR + 107 20 2 7 10 1 0 0 5 7 9 3 1 5 R 2 7 1 0 79 0 1 55 Note: 4 steps
Example : There are three numbers whose sum is 34. The sum of the first and second is 7 and the sum of the second and third is 22. Find the numbers. 123

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

jerri-1-6-1 - Section 1.6 Transforming a matrix to Reduced...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online