calculus document

May 12th, 2015
Studypool Tutor
Price: $50 USD

Tutor description

This document provides good solution to the teachers and students buy one

Word Count: 1701
Showing Page: 1/9
FMatrixCalculusF1Appendix F: MATRIX CALCULUSTABLE OF CONTENTSPageF.1.F.2.F.3.F.4.F.5.IntroductionThe Derivatives of Vector FunctionsF.2.1.Derivative of Vector with Respect to VectorF.2.2.Derivative of a Scalar with Respect to VectorF.2.3.Derivative of Vector with Respect to ScalarF.2.4.Jacobian of a Variable Transformation . .The Chain Rule for Vector FunctionsThe Derivative of Scalar Functions of a MatrixF.4.1.Functions of a Matrix Determinant. . .The Matrix DifferentialF2. ... .. ... ... .. ... ... .. .. .. .. . . . . . .F3F3F3F3F3F4F5F6F7F8F.2THE DERIVATIVES OF VECTOR FUNCTIONSF.1. IntroductionIn this Appendix we collect some useful formulas of matrix calculus that often appear in finiteelement derivations.F.2. The Derivatives of Vector FunctionsLet x and y be vectors of orders n and m respectively:yx 11 y2 x2 y=x= .. .. ,..xn,(F.1)ymwhere each component yi may be a function of all the x j , a fact represented by saying that y is afunction of x, ory = y(x).(F.2)If n = 1, x reduces to a scalar, which we call x. If m = 1, y reduces to a scalar, which we call y.Various applications are studied in the following subsections.F.2.1. Derivative of Vector with Respect to VectorThe derivative of the vector y with respect to vector x is the n m matrix

Review from student

Studypool Student
" AMAZING as always! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Other Documents


Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors