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QUESTION

Let L: IR n \rightarrow IR m be a linear mapping. What can we say about the injectivity, the surjectivity, the bijectivity of L if:

Let L: IRn IRm be a linear mapping. What can we say about the injectivity, the surjectivity, & the bijectivity of L if:

a) n > m

b) n = m

c) n < m

Also, give a simple example for each case.

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