Solution Found!
Suppose A is a 5 × 3 matrix and there exists a 3 × 5
Chapter , Problem 18E(choose chapter or problem)
Suppose A is a \(5 \times 3\) matrix and there exists a \(3 \times 5\) matrix C such that \(C A=I_{3}\). Suppose further that for some given b in \(\mathbb{R}^{5}\), the equation Ax = b has at least one solution. Show that this solution is unique.
Questions & Answers
QUESTION:
Suppose A is a \(5 \times 3\) matrix and there exists a \(3 \times 5\) matrix C such that \(C A=I_{3}\). Suppose further that for some given b in \(\mathbb{R}^{5}\), the equation Ax = b has at least one solution. Show that this solution is unique.
ANSWER:Problem 18E
Suppose A is a 5 × 3 matrix and there exists a 3 × 5 matrix C such that . Suppose further that for some given b in , the equation Ax = b has at least one solution. Show that this solution is unique.
Solution
Step 1
Given: Suppose A is a 5 × 3 matrix and there exists a 3 × 5 matrix C such that and further for some given b in , the equation Ax = b has at least one solution.
To prove: the solution is unique.