lecture22aa

# lecture22aa - Lecture on Review of Linear Algebra Matrix...

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Lecture on 03/10/08 Review of Linear Algebra

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Matrix - Rectangular Array of Numbers = 8 11 2 9 4 7 6 12 10 3 5 1 A 3 rows, 4 columns dimension is 3x4 = mn m m n n a a a a a a a a a A ... ... ... ... ... .. .. 2 1 2 22 21 1 12 11 is general m x n matrix =( a ij ) m x n
Special Types of Matrices = 1 4 3 5 1 4 x B Column vector - 1 column matrix. = 51 73 101 1 3 x C Row vector - 1 row matrix [ ] 12 6 7 10 4 1 = x E [ ] 8 5 11 7 2 1 6 1 = x F

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Special Types of Matrices Square matrix- n x n matrix 6 4 3 main diagonal Identity matrix - square matrix with 1’s along main diagonal and 0’s elsewhere 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 = I 4x4
Diagonal Matrix A square matrix having 0’s in each of the off-diagonal positions. Example: - 3 0 0 0 0 12 0 0 0 0 3 0 0 0 0 4 Scalar is a 1x1 matrix

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Zero Matrix A matrix with all zeroes 3 2 0 0 0 0 0 0 x Z =
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lecture22aa - Lecture on Review of Linear Algebra Matrix...

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