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My name is Jennifer and I'm new to Physics Forum. I was googling algebraic terms when I came across this site. It looks very helpful and I will greatly appreciate it if someone can help me answer this question:-

Let L : Rn --> Rm and M : Rm --> Rp be linear mappings.

a) Prore that rank( M o L) <= rank(M).

b) Prove that rank( M o L) <= rank(L).

Thank you~~

Jennifer