MHB Absolute Value Definition....2

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The discussion focuses on rewriting expressions involving absolute value using its algebraic definition. Participants explore methods to eliminate absolute value signs by considering the conditions under which the expression is positive or negative. The conversation emphasizes the importance of understanding the piecewise nature of absolute value. Examples are provided to illustrate the transformation of expressions into their non-absolute value forms. Mastery of this concept is crucial for solving equations and inequalities involving absolute values.
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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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Yes again:)
 
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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