Question

let the reduced row echelon form of a be ( 1 -3 0 4 0 5) 0 0 1 3 0 2 0 0 0 0 1 - 1 . 0 0 0 0 0 0 determine a if the first , third, and sixth columns of a are respectively.

Answer 1

To determine matrix a given its reduced row echelon form, analyze the pivots. The first, third, and sixth columns must have pivots, indicating leading non-zero entries.

Step-by-step explanation:

To determine the matrix a given its reduced row echelon form, we can analyze the pivots in the form. In this case, the first, third, and sixth columns contain the pivots. So, a must have pivots in these columns. The pivots indicate the leading non-zero entries in each row, so we can write matrix a as:

( 1 0 0 0 0 0)
( 0 0 1 0 0 0)
( 0 0 0 0 0 1)