Plotting first column as X and every other column as a separate line for Y in gnuplot

I have a data file that is formatted as following: 1 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 2 0.943177 1.305333 1.735536 1.797774 1.598829 1.737834 1.740041 1.912885 1.566793 2.019060 3 0.939475 1.358506 2.321663 1.853523 1.959409 2.510413 2.150453 2.398809 2.416171 2.565402 4 1.088087 1.123924 2.432605 2.590402 2.093655 3.088580 2.607818 3.159053 2.510439 2.821530 5 1.015587 1.258744 2.416498 2.580757 3.060878 2.942430 3.000413 3.253305 3.690752 3.959206 6 0.944150 1.315485 2.414785 2.574164 3.124374 4.351301 3.059047 3.702346 3.444113 4.392897 7 0.995709 1.645348 2.405321 2.613974 3.081145 4.353721 4.484388 3.194175 3.711591 4.668821 8 1.009326 1.492901 2.358513 2.523792 3.115867 4.392143 4.509854 5.086435 3.266735 4.590688 9 1.042647 1.327413 2.431767 2.577399 3.086926 4.381097 4.438063 5.144038 5.155699 4.230450 10 1.075849 1.291292 2.444103 2.584868 3.073117 4.328016 4.432163 5.145352 5.122751 7.421389 Those are 10 rows and 11 columns, with the first column being the values of the X-Axis. I want to draw a separate line for the values of every remaining column. The count of rows and columns can vary, since this is the output of a script. I want to plot those data using gnuplot. I tried > plot "< ./plotscript" matrix using 1:3:2 ever 1::1 with lines palette but that draws the rows as lines and not the columns.