Matrix_Math_PLS

Matrix_Math_PLS - Department of Mechanical Engineering...

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Department of Mechanical Engineering Matrix Math ES 140 Section 5 Fall 2006
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Department of Mechanical Engineering Definition A matrix is a set of numbers arranged in a rectangular grid of rows and columns. Basically, a matrix is an easy way of representing a large set of data. = mn m n n m a a a a A 1 1 11 ,
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Department of Mechanical Engineering Special Matrices When m=n, the matrix is a square matrix When all the elements are zero, that constitutes a zero matrix When all the diagonal elements are equal to one, then that is an identity matrix, often denoted with I.
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Department of Mechanical Engineering Entering Matrices in Excel
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Department of Mechanical Engineering Matrix Addition Only matrices of the same size can be added or subtracted. This is done in Excel with simple formulae. - - - - = - = + = = 2 2 1 1 8 6 5 3 5 4 3 2 3 2 2 1 B A and B A B and A If
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Department of Mechanical Engineering Multiplication of a matrix by a scalar The product of a scalar (an ordinary number) and a matrix is obtained by multiplying each element of the matrix with the scalar. In Excel, this is handled by basic cell scalar multiplication and fill operations.
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Department of Mechanical Engineering Multiplication of 2 Matrices Two matrices, A and B, can be multiplied if and only if the number of columns in A is equal to the number of rows in B. These matrices are then called conformable. A x B = C If A is (m x n) and B is (j x k) then C is (m x k) and n = j For example, (2x3) times (3x2) = 2x2 matrix Note that A x B does not equal B x A, in fact A x B may be conformable while B x A is not.
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This note was uploaded on 04/08/2008 for the course ES 140 taught by Professor Varies during the Fall '07 term at Vanderbilt.

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Matrix_Math_PLS - Department of Mechanical Engineering...

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