Help With Router Compatibility

I'm not real good with routers and such and i would like to know if this adapter - Mini USB WiFi Wireless Lan Network Adapter with 802.11n/g/b w/Antenna 150Mbps

With these specs -

100% brand high quality .
Mini portable USB 2.0 design.
Wireless N speed up to 150Mbps, ideal for internet surfing and on-line gaming.
Complies with IEEE 802.11n (Draft 2.0), IEEE 802.11g, IEEE 802.11b standards.
Provides two work modes: Infrastructure and Ad-Hoc.
MIMO technology makes wireless transmission rates up to 150Mbps.
CCA technology enhances your signal stablility by automatically avoiding channel conflicts.
Quick secure setup, complies with WPS for worry free wireless security.
Wireless security encryption easily at a push Of QSS button.
Supports 64/128-bit WEP, as well as WPA/WPA2 and WPA-PSK/WPA2-PSK encryptions.
Supports WIN2K, XP, VISTA, WIN7, MAC, LINUX operating system.
Supports wireless roaming technology for high-efficient wireless connections.
Seamlessly compatible with 802.11b/g/n devices.
Specification
Device Type:Mini USB Wireless Adapter .
Chipset Ralink: RT5370.
Wireless Standards:IEEE 802.11n, IEEE 802.11g, IEEE 802.11b .
Frequency Band:2.4GHz ISM (Industrial Scientific Medical) Band .
Peak Throughput:150Mbps .
Channel:1--14 channels (Universal Domain Selection) .
Support Operating System:Windows 2000, XP, Vista, Win7, Linux, MAC .
Antenna Gain:2dBi .
Weight: 1.2(36g).

Will work with this router
Sisco E1000-RM Linksys E1000 2.4GHz Fast Ethernet 10/100 Wireless-N Router F

Specifications:

Cisco E100-RM Linksys E1000 2.4GHz Band Fast Ethernet 10/100 Wireless-N Router.

Features:

Enclosure: External
Interface: Ethernet
Wireless Technology: Wireless N
Wireless Speed: 300 Mbps
Port Speed: 10/100
Connectivity: Wired & Wireless
Port Qty: 4-port
Model#: E1000
Part#: E1000-RM
Brand: Cisco


Thanks for everybody's time!
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