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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Definitions:

McGregor's Theory

A concept of human motivation, management, and leadership that divides workers' motivations into two categories, Theory X and Theory Y.

Social Setting

The context or environment in which social interactions occur, including the cultural, historical, and physical aspects that influence these interactions.

Productivity

The measure of how efficiently goods and services are produced, often evaluated as output per unit of input.

Theory X

The assumption that people dislike work, lack ambition, act irresponsibly, and prefer to be led.