Examples of vector spaces part I

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We look at some examples of vector spaces, namely R^n and the set of m-by-n matrices.
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Nice explanation and clarity in language.Every one can understand easily

ravinderreddyadudodla
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The matrix m×n doesn't form a vector space because it doesn't satisfy this condition 1.v=v.1=v
Is I am correct or not???

shresthverma
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if given matrixhas entries a, b, c, d, e, f, g, h, i

fizzashehwar
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what about c(x1, x2) = (x1, cx2) determining the vector space

darryldesuze
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thanks so much, it saved me life. I almost drop this class because I get stuck here. Now I understand, I should apply laws for real numbers into vector space to make the left side and right side equal.

xiaoyuezhong