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Solved: Construct 3 × 2 matrices A and B such that Ax = 0
Chapter 1, Problem 29E(choose chapter or problem)
QUESTION:
PROBLEM 29EConstruct 3 × 2 matrices A and B such that Ax = 0 has a nontrivial solution, but Bx = 0 has only the trivial solution.
Questions & Answers
QUESTION:
PROBLEM 29EConstruct 3 × 2 matrices A and B such that Ax = 0 has a nontrivial solution, but Bx = 0 has only the trivial solution.
ANSWER:Solution :
Step 1 : Construct 3 × 2 matrices A and B such that Ax = 0 has a nontrivial solution,
but Bx = 0 has only the trivial solution.
A: matrix with non zero column such that neither column is a multiple of other.
B: any matrix with one column a multiple of another.