# lecture_3 - MA 265 LECTURE NOTES: FRIDAY, JANUARY 11...

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Unformatted text preview: MA 265 LECTURE NOTES: FRIDAY, JANUARY 11 Matrices (contd) Review of Definitions. Recall that the coefficients in a system of m linear equation in n unknowns a 11 x 1 + a 12 x 2 + + a 1 n x n = b 1 a 21 x 1 + a 22 x 2 + + a 2 n x n = b 2 . . . . . . . . . . . . a m 1 x 1 + a m 2 x 2 + + a mn x n = b m correspond to an m n matrix: A = a 11 a 12 ... a 1 n a 21 a 22 ... a 2 n . . . . . . . . . . . . a m 1 a m 2 ... a mn . Examples. Consider the following two matrices: A = 1 2 3- 1 0 1 and B = 1 + i 4 i 2- 3 i- 3 . Since A 2 rows and 3 columns, it is a 2 3 matrix. Since B has 2 rows and 2 columns, it is a 2 2 matrix. Note that the entries can either be real or complex numbers. Matrix Operations Matrix Addition. Say that A and B are both m n matrices. Then we define the addition as the m n matrix A = a ij , B = b ij = A + B = a ij + b ij . Note that addition can only be defined when A and B have both the same number of rows m and the same number of columns n ....
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## This note was uploaded on 03/11/2010 for the course MA 261A 0026100 taught by Professor ... during the Spring '10 term at Purdue University Calumet.

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lecture_3 - MA 265 LECTURE NOTES: FRIDAY, JANUARY 11...

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