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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.3 Summation versus Integration, #32 · Calculus · Integrals

Write out all terms to see why the following are true: …\sum_1^3…

Write out all terms to see why the following are true:
$1 \sum 3 4 v_{j} = 4 1 \sum 3 v_{j} i = 1 \sum 2 (j = 1 \sum 3 u_{i} v_{j}) = (1 \sum 2 u_{i}) (1 \sum 3 v_{j})$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.3 Summation versus Integration, #32

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