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Basic Matrix Addition and Scalar Multiplication

Matrix operations warmup

Given \( A = \begin{pmatrix} 1 & -2 & 3 \\ 4 & 5 & -6 \end{pmatrix} \) and \( B = \begin{pmatrix} 3 & 0 & 2 \\ -7 & 1 & 8 \end{pmatrix} \), find: (a) \( A+B \), (b) \( 2A-3B \).
matrix-additionscalar-multiplicationlinear-combinationmatriceslinear-algebraevaluate-expressionarithmeticmatrix-operations

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What this problem tests

Tests the ability to correctly apply element-wise operations to matrices and manage signs during arithmetic.

This is a fundamental exercise introduced at the very beginning of any linear algebra course.

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