Multiplying a Matrix By a ScalarDate: 08/27/98 at 17:35:58 From: Anyela Torres Subject: Multiplication of matrix by scale I need to know how to multiply a matrix by a scalar. Can you help me? It's very important. Date: 08/27/98 at 18:17:24 From: Doctor Pat Subject: Re: Multiplication of matrix by scale Anyela, First, I assume you know what a matrix is, and what a scaler is, but here's just a brief description. A matrix is a rectangular array of numbers, and a scaler is a number without units attached. 4 is a scaler, but 4 feet is not. When you multiply a scaler times a matrix, the result is a new matrix in which each element in it is equal to the old element in that position times the scaler. For example, let: | 3 5 | | | | 2 -1 | which is a 2x2 matrix, and let the scaler be 6. Then the product 6 times A will equal a new matrix: | 18 30 | | | | 12 -6 | I hope that helps. Thanks for the question. - Doctor Pat, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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