MAE142_Lecture3

# MAE142_Lecture3 - Linear Algebra Review Vectors and...

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Linear Algebra Review Vectors and Matrices Matrix Manipulations Software Tools MAE 142 Wright R2600 Engine

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2 MAE 142 Matrix and Vector Definitions A m-by-n matrix is a rectangular arrangement of numbers with m rows and n columns. A matrix with the same number of rows and columns is called a square matrix. Vectors are special matrices that have only one row (row vector) or one column (column vector). A matrix with only one row and one column is called a scalar . A =[ a ij ]= [ a 11 a 12 a 1n a 21 a 22 a 2n a m1 a m2 a mn ] i = rowindex m rows j = column index n columns c = [ c 1 c 2 c m ] b = [ b 1 b 2 b n ]
3 MAE 142 Special Matrices A matrix with all elements equal to zero is called a null matrix . A diagonal matrix is a square matrix with all off-diagonal entries equal to zero. A = [ 0 0 0 0 0 0 0 0 0 ] A = [ a 11 0 0 0 0 a 22 0 0 0 0 a 33 0 0 0 0 a nn ]

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4 MAE 142 More Special Matrices The identity matrix is a diagonal matrix with all diagonal elements equal to unity. The identity matrix is universally denoted by a capital
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## This note was uploaded on 01/18/2012 for the course MAE 142 taught by Professor Aliseda,a during the Spring '08 term at UCSD.

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MAE142_Lecture3 - Linear Algebra Review Vectors and...

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