Solution Found!
Suppose that ad – bc 0in the homogeneous system of . Use
Chapter 3, Problem 36P(choose chapter or problem)
Suppose that ad – bc ? 0in the homogeneous system of 1. Use to show that its only solution is the trivial solution. Consider the homogeneous systemax + by = 0cx + dy = 0.(a) If x = x0 and y = y0 is a solution and k is a real number, then show that x = kx0 and y = ky0 is also a solution.________________(b) If x = x1, y = y1 and x = x2, y = y2 are both solutions, then show that x = x1 + x2, y = y1 + y2is a solution. Show that the 2 × 2 matrix is row equivalent to the 2 × 2 identity matrix provided that ad – bc ? 0.
Questions & Answers
QUESTION:
Suppose that ad – bc ? 0in the homogeneous system of 1. Use to show that its only solution is the trivial solution. Consider the homogeneous systemax + by = 0cx + dy = 0.(a) If x = x0 and y = y0 is a solution and k is a real number, then show that x = kx0 and y = ky0 is also a solution.________________(b) If x = x1, y = y1 and x = x2, y = y2 are both solutions, then show that x = x1 + x2, y = y1 + y2is a solution. Show that the 2 × 2 matrix is row equivalent to the 2 × 2 identity matrix provided that ad – bc ? 0.
ANSWER:SOLUTION:Step 1 of 2:In this question, suppose that in the homogeneous system If show that its only solution is the trivial solution.