MAT 223 chap 6 defs/theorems

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6 Terms

1
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The sum of two matricies A and B

A + B = (v1+w1, …..,vn+wn)

2
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The scalar product of matrix a with a constant c

cA = (cv1 , …., cvn)

3
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The matrix product of two matricies A and B is

AB = (Ab1, Ab2, …. , Abn)

4
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The identity matrix

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5
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Let A be an nxn matrix, the INVERSE of A is

Matrix B st AB = BA = In

6
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One sided inverses Lemma

For nxn Matricies, if AB = ln, then B = A^-1