MHB Order of Operations for Matrices in Scientific Computing

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In scientific computing, the expression $4A + B$ should be interpreted using standard mathematical order of operations, meaning it is calculated as $(4 * A) + B. This indicates that the scalar multiplication of 4 with matrix A occurs first, followed by the addition of matrix B. There is no implication that the expression should be interpreted as $4(A + B)$. Understanding this order is crucial for accurate matrix computations. Clear communication of these operations helps avoid confusion in matrix calculations.
shamieh
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When I am dealing with matrices and the question says compute: $4A +B$ (where $A$ and $B$ are some matrices..) should I assume that they are implying I use the normal mathematical order of operations or is it different? For example should I assume they are saying $(4*A) + B$ or $4(A+B)$
 
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$4A+B$ means that 4 and $A$ are to be multiplied, and then $B$ added to the result, as you likely suspected. :D
 
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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