# Given the linear system x 1 x 2 + x 3 = 2, x 1 + 2x 2 x 3 = 3, x 1 + x 2 + x 3 = 2. a. Find value(s) of for

Given the linear system x_{1} − x_{2} + αx_{3} = −2, −x_{1} + 2x_{2} − αx_{3} = 3, αx_{1} + x_{2} + x_{3} = 2.

a. Find value(s) of α for which the system has no solutions.

b. Find value(s) of α for which the system has an infinite number of solutions.

c. Assuming a unique solution exists for a given α, find the solution.

## This problem has been solved!

Do you need an answer to a question different from the above? Ask your question!

**Related Book For**

## Students also viewed these Numerical Analysis questions