Linear Algebra Examples

$x + y + z = 1$ , $a x + b y + c z = d$ , $a^{2} x + b^{2} y + c^{2} z = d^{2}$

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.