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lmae
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If Bob had $150 more in his savings account, he would have five times as much saved as he currently has in this account. How much does Bob currently have saved?
MHB Bob's Savings: Solving the Unknown Value Problem
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Bob's current savings can be represented as $x$. If he had $150 more, his savings would be $x + 150$. This amount is stated to be five times his current savings, leading to the equation $x + 150 = 5x$. Solving this equation reveals that Bob currently has $37.50 saved. The discussion emphasizes the importance of accurately framing mathematical problems for clarity.
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...