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12 Cards in this Set
- Front
- Back
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a(sub i)(sub k) = b(sub i)(sub k)
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Equality of Matrices
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B = A'<-> b(sub i sub k) = a(sub k sub i)
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Transposition
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A = A'
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Symmetric Matrix
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A + B = B + A
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Commutative Property of Matrix Addition
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(A+B)+C = A+(B+C)
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Associative Property of Matrix Addition
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(A+B)' = A'+B'
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Distributive Property of Matrix Addition
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C = AB or c(sub i sub k) =a'(sub i) X b(sub k)
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Matrix Multiplication
Note: To multiply two matrices, the number of columns in the first must be the same as the number of rows in the second. "Conformable for Multiplication" |
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cA = [ca(sub i sub k)]
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Scalar Multiplication
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(AB)C = A(BC)
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Associative Law
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A(B+C) = AB+AC
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Distributive Law
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(AB)' = A'B'
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Transpose of a Product
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(ABC)' = C'B'A'
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Transpose of an Extended Product
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