Solution Found!
Suppose AB = AC, where B and C are n × p matrices and A is
Chapter 2, Problem 13E(choose chapter or problem)
QUESTION:
Suppose AB = AC; where B and C are \(n \times p\) matrices and A is invertible. Show that B = C. Is this true, in general, when A is not invertible?
Questions & Answers
QUESTION:
Suppose AB = AC; where B and C are \(n \times p\) matrices and A is invertible. Show that B = C. Is this true, in general, when A is not invertible?
ANSWER:Problem 13E
Suppose AB = AC, where B and C are n × p matrices and A is invertible. Show that B = C. Is this true, in general, when A is not invertible?
Solution :
Step 1:
We need to show that B = C , if AB = AC where A is invertible matrix , B and C are n × p matrices.