Linear Algebra Examples

$x + y + u = k$ , $x^{2} + y^{2} + u^{2} = k^{2} - u$ , $\frac{1}{x} + \frac{1}{y} + \frac{1}{u} = \frac{1}{6}$

Step 1

Gaussian Elimination cannot be used.

Step 2

Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.