Which of the Following Is a True Statement $A C = 1$

question 45

Multiple Choice

Which of the following is a true statement

• A)If A and C are matrices and \(A C = 1\) , then \(C A = I\) .
• B) Given \(M = \left[ \begin{array} { l l }
• h & c \\
• g & b
• \end{array} \right]\) , if \(h b - c g = 0\) , then M has an inverse.
• C) If A, X, and C are matrices, and \(A X = C\) , then \(X = C A ^ { - 1 }\) .
• D) If A and C are matrices and \(A C = 1\) , then \(C A = I\) and if A, X, and C are matrices, and \(A X = C\) , then \(X = C A ^ { - 1 }\) is true.
• E) None of these statements is true.

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