02Addition, Subtraction, and Scalar Multiplication

02Addition, Subtraction, and Scalar Multiplication - -+ -12...

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A DDITION , S UBTRACTION , AND S CALAR M ULTIPLICATION OF M ATRICES Addition and Subtraction Matrices can be added or subtracted only if they have the same order. To add two matrices of the same order, simply add the corresponding elements. Ex . Thao has three stores (A, B, and C). Her stock levels for dresses, skirts, and blouses are given by the matrix: Store A B C 62 17 46 79 39 28 68 41 23 blouses skirts dresses Some newly ordered stock as just arrived. For each store, 20 dresses, 30 skirts, and 50 blouses must be added to stock levels. Her stock order is given by the matrix: 50 50 50 30 30 30 20 20 20 The new stock levels are: Or Adding matrices results in a single matrix with the same order as the original matrices. To subtract two matrices, the matrices must be of the same order and then simply subtract corresponding elements. Ex . Subtract. = - - - - - - - 8 4 1 7 13 7 2 5 2 0 9 11 1 4 8 6 8 2 4 0 9 3 7 6
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Ex . Add or subtract as indicated. a) =
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Unformatted text preview: -+ -12 4 8 5 1 4 9 4 2 5 4 1 b) = - -6 1 4 8 1 6 5 c) = ------ ---12 16 7 2 6 42 18 31 10 5 22 14 1 34 13 46 7 53 2 67 8 34 15 7 3 4 9 4 7 12 Scalar Multiplication To multiply a matrix by a scalar (a constant), multiply each element in the matrix by that constant. Ex . Multiply. 2 7 3 3 1 4 9- = - A negative matrix A , denoted A , is actually 1 A (the matrix multiplied by the scalar 1). Ex . Given matrix B = -7 2 1 3 , find B .-B = The zero matrix has the property that any matrix A + 0 = O +A = A where represents the zero matrix. Ex . 1 7 3 4 + = - Assign: MM p.564 #1-8...
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This note was uploaded on 07/12/2011 for the course MATH 241 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

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02Addition, Subtraction, and Scalar Multiplication - -+ -12...

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