How to divide matrix over two lines (matrix too big for page)

Question

I'm writing a math assignment and my matrix is too wide for the page and falls off, even if I switch it to landscape. Any advice as to how I can split the matrix over two lines?
documentclass{article}
usepackage[utf8]{inputenc}
usepackage{amsmath} 
begin{document}

begin{align*}
begin{pmatrix}
    a_{11}(b_{11} + c_{11}) + a_{12}(b_{21} + c_{21}) + ... + a_{1n}(b_{n1} + c_{n1}) 
    & a_{11}(b_{12} + c_{12}) + a_{12}(b_{22} + c_{22}) + ... + a_{1n}(b_{n2} + c_{n2}) 
    & dots 
    & a_{11}(b_{1k} + c_{1k}) + a_{12}(b_{2k} + c_{2k}) + ... + a_{1n}(b_{nk} + c_{nk}) 
    
    a_{21}(b_{11} + c_{11}) + a_{22}(b_{21} + c_{21}) + ... + a_{2n}(b_{n1} + c_{n1}) 
    & a_{21}(b_{12} + c_{12}) + a_{22}(b_{22} + c_{22}) + ... + a_{2n}(b_{n2} + c_{n2}) 
    & dots 
    & a_{21}(b_{1k} + c_{1k}) + a_{22}(b_{2k} + c_{2k}) + ... + a_{2n}(b_{nk} + c_{nk})  
    vdots & vdots & ddots & vdots 
    a_{m1}(b_{11} + c_{11}) + a_{m2}(b_{21} + c_{21}) + ... + a_{mn}(b_{n1} + c_{n1})
    & a_{m1}(b_{12} + c_{12}) + a_{m2}(b_{22} + c_{22}) + ... + a_{mn}(b_{n2} + c_{n2}) 
    & dots 
    & a_{m1}(b_{1k} + c_{1k}) + a_{m2}(b_{2k} + c_{2k}) + ... + a_{mn}(b_{nk} + c_{nk})    
end{pmatrix}
end{align*}
end{document}

David Carlisle · Accepted Answer

Perhaps

documentclass{article}

usepackage{amsmath}

begin{document}

[renewcommandarraystretch{2}
begin{pmatrix}
sum_{i=1}^n a_{1i}(b_{i1}+c_{i1}) &
sum_{i=1}^n a_{1i}(b_{i2}+c_{i2}) &
 dots &
sum_{i=1}^n a_{2i}(b_{ik}+c_{ik})

sum_{i=1}^n a_{2i}(b_{i1}+c_{i1}) &
sum_{i=1}^n a_{2i}(b_{i2}+c_{i2}) &
 dots &
sum_{i=1}^n a_{2i}(b_{ik}+c_{ik})

vdots & vdots & ddots & vdots

sum_{i=1}^n a_{mi}(b_{i1}+c_{i1}) &
sum_{i=1}^n a_{mi}(b_{i2}+c_{i2}) &
 dots &
sum_{i=1}^n a_{mi}(b_{ik}+c_{ik})

end{pmatrix}
]
end{document}

How to divide matrix over two lines (matrix too big for page)

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