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Evaluate A-B given matrices A = [[5, 7], [9, 11]] and B = [[1, 2], [3, 4]]

Mathematics

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9. Evaluate A-B
Given matrices:

A=(57911),B=(1234)A = \begin{pmatrix} 5 & 7 \\ 9 & 11 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}

To find A−BA-B, we subtract the corresponding elements of matrix B from matrix A:

A−B=(5−17−29−311−4)A-B = \begin{pmatrix} 5-1 & 7-2 \\ 9-3 & 11-4 \end{pmatrix} A−B=(4567)A-B = \begin{pmatrix} 4 & 5 \\ 6 & 7 \end{pmatrix}

The result is $\boxed{\begin

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