MATLAB: “Inner matrix dimensions must agree”

MATLABmatrixplotting

Hi all,
I know this is simple, but I still can't see the solution. I'm trying to plot a function which uses the 4th power of sinh and cosh. I can't figure out how to communicate it to MATLAB properly, so
k = 1.3 * 10^(-23);
T1 = 100;
T2 = 200;
T3 = 300;
j = 0:10:500;
lambda = 2* cosh(j) * (1 + 2 * sqrt(4 * sinh(j) * sinh(j) * sinh(j) * sinh(j) +1) );
F1 = k * T1 * log(lambda);
F2 = k * T2 * log(lambda);
F3 = k * T3 * log(lambda);
plot(j, F1(j), j, F2(j), j, F3(j))
hleg1 = legend('at 100 K', 'at 200 K', 'at 300 K');
results in
Error using  * 
Inner matrix dimensions must agree.
Error in Energy (line 8)
lambda = 2* cosh(j) * (1 + 2 * sqrt(4 * sinh(j) * sinh(j) * sinh(j) *
sinh(j) +1) );
Could anyone tell me how to reformulate line 8?
Thanks!

Best Answer

Change
sqrt(4 * sinh(j) * sinh(j) * sinh(j) * sinh(j) +1)
to
sqrt(4 * sinh(j).^4 + 1)
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