jerri-2-1 - Section 2.1 Addition of Matrices and Scalar...

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Section 2.1 Addition of Matrices and Scalar Multiplication Notation () ij A a = 11 12 13 1 21 22 23 2 31 32 33 3 123 n n n mm m m n aaa a a a aa a a = """ " In order to add matrices, add corresponding entries. For the operation to be defined, they must be the same size. The sum will also be the same size. If the matrices are not the same size, then the operation is undefined.
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Example: 12 0 2 34 3 8  +   Add corresponding entries 10 2 2 3348 +− = ++ 61 2 = Example: 0 2 25 1 15 43 1 9 −+ 0 2 21 155 41 39 =−+ + + 91 0 31 2 =
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Example: 16 0 5 2 20 1 5 7  +  −−  Undefined. Matrices are not the same size. To multiply a matrix by a scalar, multiply each entry by the scalar. Example: 145 2 23 4 2(1) 2( 4) 2( 5) 2(2) 2(3) 2(4) = 281 0 46 8 =
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Example: 10 2 0 01 24 1 1 4 1 0 0 50 2 02 3   −−
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This note was uploaded on 11/11/2008 for the course MATH 1114 taught by Professor Jhengland during the Fall '08 term at Virginia Tech.

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jerri-2-1 - Section 2.1 Addition of Matrices and Scalar...

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