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Let A be an invertible n × n matrix, and let B be an n × p
Chapter 2, Problem 11E(choose chapter or problem)
QUESTION:
Problem 11E
Let A be an invertible n × n matrix, and let B be an n × p matrix. Show that the equation AX = B has a unique solution A–1 B.
Questions & Answers
QUESTION:
Problem 11E
Let A be an invertible n × n matrix, and let B be an n × p matrix. Show that the equation AX = B has a unique solution A–1 B.
ANSWER:
Problem 11E
Let A be an invertible n × n matrix, and let B be an n × p matrix. Show that the equation AX = B has a unique solution A–1 B.
Solution :
Step 1:
In this problem we need prove that the equation AX = B has a unique solution A-1 B, if A is invertible n × n matrix.