Unit 3 - Systems of Linear Equations

Question 1

Possible solutions of a system of linear equations

Answer 1

• No solution
• One solution
• Infinite number of solutions

Question 2

Gaussian algorithm

Answer 2

Consists of elementary row operations to transform the matric in an upper triangular matrix

Question 3

Possible elementary row operations

Answer 3

• Swapping two rows (equation)
• Multiplying all elements of an equation by a number != 0
• Replacing an equation with the sum of his equation and another one

Question 4

Gaussian algoritm, 3 steps

Answer 4

1. Create the expanded matrix
2. Obtain an upper triangular matrix
3. Find the solutions by substituting