Can you use PS3 controller on a PS2? (w/ adapter)

I recently borrowed the MGS series from a friend, looking forward to playing them on my old PS2; however, all of its controllers are broken now. I got a PS3 recently, and I'm wondering if I can use one of these adapters to use my PS3 controller on the ps2. Thoughts?

http://www.amazon.com/gp/product/B0032GX1V4/ref=s9_simh_gw_p63_d0_i1?pf_rd_m=ATVPDKIKX0DER&pf_rd_s=center-2&pf_rd_r=0X31VKCZGNWW0XNED72P&pf_rd_t=101&pf_rd_p=470938631&pf_rd_i=507846

http://www.amazon.com/gp/product/B001QCDNCS/ref=s9_simh_gw_p63_d0_i3?pf_rd_m=ATVPDKIKX0DER&pf_rd_s=center-2&pf_rd_r=0X31VKCZGNWW0XNED72P&pf_rd_t=101&pf_rd_p=470938631&pf_rd_i=507846