MHB Absolute Value Definition....3

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The discussion focuses on using the algebraic definition of absolute value to rewrite an expression without absolute value. Participants confirm the correctness of the approach taken. The conversation emphasizes the importance of understanding absolute value in algebraic manipulations. The attachment likely contains the specific expression to be rewritten. Overall, the thread highlights the application of algebraic principles in simplifying expressions.
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Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

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RTCNTC said:
Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

See attachment.
That is correct.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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