Matrix_Algebra

Matrix_Algebra - Vineet Goyal Matrices Addition, Scalar...

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QSRP - Chapter 6 1 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving systems Inverses Quantitative Skills Review Program Matrix Algebra Chapter 6
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QSRP - Chapter 6 2 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving systems Inverses Matrices Definition Array of numbers Applications: Solving systems of equations, multivariable optimization, computer graphics Structured representation is very useful Algebraic operations on matrices +, -, x, ÷
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QSRP - Chapter 6 3 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving systems Inverses Matrices Example: A = 10 12 16 5 9 7 (A is 2 x 3 matrix: 2 rows and 3 columns) X Y Z Labor 10 12 16 Material 5 9 7 Resources Products
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QSRP - Chapter 6 4 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving systems Inverses Matrices Numbers in a matrix are entries or elements General matrix: a11 a12 a1n a21 a22 a2n = A am1 am2 amn Can also write as: A = [a ij ] Size = m x n (m rows and n columns)
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QSRP - Chapter 6 5 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving systems Inverses Row matrix or row vector Matrix that has exactly one row [1 7 9 3] Size = 1 x 4 Column matrix or column vector Matrix that has exactly one column 5 -4 Size = 3 x 1 3
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QSRP - Chapter 6 6 Vineet Goyal Matrix multiplicatn Matrices Addition, Scalar mult. Solving
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This note was uploaded on 10/05/2010 for the course BUS 1142 taught by Professor Miller during the Fall '10 term at Carnegie Mellon.

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Matrix_Algebra - Vineet Goyal Matrices Addition, Scalar...

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