Suppose AB = AC, where B and C are n × p matrices and A is

Chapter 2, Problem 13E

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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?

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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.

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