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$AB = \\begin{pmatrix} \\var{a11}&\\var{a12}&\\var{a13}\\\\ \\var{a21}&\\var{a22}&\\var{a23}\\\\ \\end{pmatrix}\\begin{pmatrix} \\var{b11}&\\var{b12}\\\\ \\var{b21}&\\var{b22}\\\\ \\var{b31}&\\var{b32}\\end{pmatrix} = $ [[0]]

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$BA = \\begin{pmatrix} \\var{b11}&\\var{b12}\\\\ \\var{b21}&\\var{b22}\\\\ \\var{b31}&\\var{b32}\\end{pmatrix}\\begin{pmatrix} \\var{a11}&\\var{a12}&\\var{a13}\\\\ \\var{a21}&\\var{a22}&\\var{a23}\\\\ \\end{pmatrix}=$ [[0]]

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Multiplication of $2 \\times 2$ matrices.

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Do the following matrix problems :
Let
\\[A=\\begin{pmatrix} \\var{a11}&\\var{a12}&\\var{a13}\\\\ \\var{a21}&\\var{a22}&\\var{a23}\\\\ \\end{pmatrix},\\;\\; B=\\begin{pmatrix} \\var{b11}&\\var{b12}\\\\ \\var{b21}&\\var{b22}\\\\ \\var{b31}&\\var{b32}\\end{pmatrix},\\;\\; \\]
Calculate the following products of these matrices:

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