Question

3. Reduce the Q.F x1^2+2x2^2+x3^2-2x1x2+2x2x3 to the canonical form by an orthogonal transformation. Give also a non-zero set of values ( x1 x2 x3 ) which makes the Q.F zero.​

Answer 1

Step-by-step explanation:

Use this calculator to transform a matrix into row canonical form . This is also called reduced row echelon form (RREF).

...

Some example matrices.

Example matrix → Row canonical form

1 2 1 1 0 0 2 5 -1 0 1 0 3 -2 -1 0 0 1 → 1 0 0 1/4 0 1/4 0 1 0 1/28 1/7 -3/28 0 0 1 19/28 -2/7 -1/28