Suppose CA = In (the n × n identity matrix). Show that the

Chapter 2, Problem 23E

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QUESTION:

Problem 23E

Suppose CA = In (the n × n identity matrix). Show that the equation Ax = 0 has only the trivial solution. Explain why A cannot have more columns than rows.

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QUESTION:

Problem 23E

Suppose CA = In (the n × n identity matrix). Show that the equation Ax = 0 has only the trivial solution. Explain why A cannot have more columns than rows.

ANSWER:

SOLUTION

Step 1

Suppose CA = In (the n × n identity matrix). Show that the equation Ax = 0 has only the trivial solution. Explain why A cannot have more columns than rows.

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