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lec1_2

# lec1_2 - NOTES ON SECTION 1.2 MA265 Overview this section...

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NOTES ON SECTION 1 . 2 MA265, SECTIONS 41, 52 Overview: this section introduces systems of equations, summarizes the solution process, and describes the possible solution sets. Key words Matrix Equal matrices difference of matrices rows n -vector summation notation columns R n , C n Index of summation size of a matrix 0 , zero vector linear combination square matrix Google coefficients main diagonal addition of matrices transpose entry of a matrix scalar multiple A matrix is a box of numbers, e.g.: B = 1 3 π e - 2 3 . 122 0 0 0 ln(2) ln( π ) e π This matrix has 4 rows and 3 columns . We say it has size 4 × 3. The 2 nd row is e - 2 3 . 122 and the 3 rd column is π 3 . 122 0 e π A general matrix looks like this: A = a 11 a 12 . . . a 1 n a 21 a 22 . . . a 2 n a 31 a 32 . . . a 3 n . . . . . . . . . a m 1 a m 2 . . . a mn The i th row is a i 1 a i 2 . . . a in and the j th column is a 1 j a 2 j a 3 j .

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