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Lecture 5 typset notes

# Lecture 5 typset notes - ME 218 ENGR COMPUTATIONAL METHODS...

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ME 218: ENGR COMPUTATIONAL METHODS Lecture Notes 5 Matrix Algebra A matrix is a rectangular array of numbers in which not only the value of the number is important, but also its position in the array. It is very easy to solve a system of linear equations using matrices. i) Matrix Addition Two matrices of the same size may be added or subtracted. Then, A+C is not defined since A is a and C is a matrix! ii) Matrix Multiplication If A and B are two given matrices, then the product AB is only defined if the number of columns of A is equal to the number of rows of B , and the product matrix has the number of rows of A and the number of columns of B . For this reason, AB may not be equal to BA !

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Example is not defined. A is a matrix and C is a matrix. The number of columns of A the number of rows of C . iii) Transpose of a Matrix If the rows of a given matrix are interchanged with the columns of the same matrix, the resultant matrix is the transpose of the given matrix.
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Lecture 5 typset notes - ME 218 ENGR COMPUTATIONAL METHODS...

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