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Solved: PROBLEM 36ELet A be a 5 × 3 matrix, let y be a
Chapter 1, Problem 36E(choose chapter or problem)
QUESTION:
PROBLEM 36ELet A be a 5 × 3 matrix, let y be a vector in ?3, and let z be a vector in ?5. Suppose Ay = z. What fact allows you to conclude that the system Ax = 5z is consistent?
Questions & Answers
QUESTION:
PROBLEM 36ELet A be a 5 × 3 matrix, let y be a vector in ?3, and let z be a vector in ?5. Suppose Ay = z. What fact allows you to conclude that the system Ax = 5z is consistent?
ANSWER:SolutionStep 1In this problem, we have to discuss the fact that allows us to conclude that the system Ax = 5z is consistent.Given: Let A be a 5 × 3 matrix. Let y be a vector in. Let z be a vector in Also suppose .To prove: the matrix equation Ax = 5z is consistent.