14111cn2.3-5

14111cn2.3-5 - c Kendra Kilmer August 18, 2011 Section 2.4...

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Unformatted text preview: c Kendra Kilmer August 18, 2011 Section 2.4 - Matrices Definitions: 1. A matrix is an ordered rectangular array of numbers. A matrix with m rows and n columns has size m n . The entry in the i th row and j th column is denoted by a ij . 2. A row matrix is a matrix of size 1 n . 3. A column matrix is a matrix of size m 1. 4. Two matrices are equal if they have the same size and equal corresponding entries. Example 1: Given the following matrix equation, what are the values of a , b , and c ? a 5- 6 3 b + 4 = 8 2 c- 15- 6 19 Matrix Operations: 1. Addition (You can only add matrices that have the same size) Example 2: Perform the following matrix operation: 1 2 3 4 + 4 5 6 7 2. Subtraction (You can only subtract matrices that have the same size) Example 3: Perform the following matrix operation: 1 2 3 4- 4 5 6 7 3 c Kendra Kilmer August 18, 2011 3. Transpose: The transpose of an m n matrix A with entries a ij is the n m matrix A T with entries a ji ....
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14111cn2.3-5 - c Kendra Kilmer August 18, 2011 Section 2.4...

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