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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 ,
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
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.
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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Matrix_Math_PLS - Department of Mechanical Engineering...

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