4.3 - can be multiplied? b What are the dimensions of the...

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1 Section 4.3 Matrix multiplication Scalar Products b You can multiply a matrix by a real number. That number is called a scalar , and the result is called the scalar product . b Example s = - - 1 2 5 8 3 Example b Find the difference 5A–3B for the following matrices - = 5 4 1 7 3 2 A - = 2 8 1 6 0 3 B Multiplying Matrices b Multiply the elements of each row of the first matrix by the elements of each column of the second matrix. s Warning: Matrix multiplication can get complicated. It’s important for you to keep your work organized. Find the product AB - - = 4 3 0 1 A - = 0 5 3 3 B b Could we multiply the following? s b How could we summarize what matrices
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Unformatted text preview: can be multiplied? b What are the dimensions of the product? Lets talk about dimensions --1 1 2 3 4 11 9 5 2 1 Determine if products HG and GH exist. If they do, find them. -= 4 8 1 3 2 G -= 5 2 8 H b If the products exist, they are defined. If they do not exist, they are undefined. One last practice problem b Find RS --= 4 5 2 4 R --= 8 1 5 2 1 8 S Homework # ___ b Page 182 (3, 8, 12-18 even, 25-27, 33)...
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This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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