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$\\var{a}+\\var{b}$
\n\n$\\Bigg($ | \n[[0]] | \n[[1]] | \n$\\Bigg)$ | \n
[[2]] | \n[[3]] | \n
$\\var{p}\\var{c}-\\var{q}\\var{d}$
\n$\\Bigg($ | \n[[0]] | \n[[1]] | \n$\\Bigg)$ | \n
[[2]] | \n[[3]] | \n
(a)
\n$\\var{a}+\\var{b}=\\var{u}$
\nJust add corresponding elements together.
\n(b)
\n$\\var{p}\\var{c}-\\var{q}\\var{d}$
\nMultiply each element of the first matrix by $\\var{p}$...
\n$\\var{p}\\var{c}=\\var{pc}$
\n...and multiply each element of the second matrix by $\\var{q}$.
$\\var{q}\\var{d}=\\var{qd}$
\nFinally, subtract corresponding elements
\n$\\var{p}\\var{c}-\\var{q}\\var{d}=\\var{pc}-\\var{qd}=\\var{v}$
\n\nFor more explanation, look for relevant resources in the 'Matrices' section on our Maths Study Skills page.
\n\n\n\n\n\n
\n | \n | \n | \n |
\n | \n |
Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.
\n(Last three parts of original question removed.)
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