Matrix Algebra Formulas (Page 1) / Formulas / Math Is Fun Forum
Jan 21, 2005 · A matrix is a rectangular array of numbers. An array of mn numbers written in m rows and n columns is called a matrix of order m x n. If in a matrix, m ≠ n, then it is a rectangular matrix. If in a …
general 4x4 determinant (Page 1) / Help Me ! / Math Is Fun Forum
Aug 29, 2005 · As a 'check', in general the determinant of an n x n matrix will require summing n! terms, each of which is a product of n terms. There is an explicit formula for the determinant of an n x n …
Math IB 3 Matrix Powers (Page 1) / Help Me ! / Math Is Fun Forum
Feb 24, 2008 · I am doing an IA on matrix powers. I want to know a formula for S^2= (4 2 2 4 and the general pattern. I dont know what they mean by generalize these results in terms of k and n for a …
How can I solve this problem? (Page 1) / Help Me ! / Math Is Fun Forum
May 27, 2010 · Take for example number 79 in Pfeffermann's incomplete square, 7+9=16=>1+6=7 and you got the B matrix value of 79. Do the same with all the values and create the A matrix by your …
LaTeX - A Crash Course (Page 13) / Help Me ! / Math Is Fun Forum
Jun 28, 2005 · A submatrix of a matrix is a matrix obtained by deleting any collection of rows and/or columns. For example, from the following 3-by-4 matrix, we can construct a 2-by-3 submatrix by …
LaTeX - A Crash Course (Page 12) / Help Me ! / Math Is Fun Forum
Jun 28, 2005 · There are various equivalent ways to define the determinant of a square matrix A, i.e. one with the same number of rows and columns: the determinant can be defined via the Leibniz formula, …
Greek Letters in Science, Math, and Engineering ... - Math Is Fun Forum
Jun 28, 2005 · This basic dynamics formula will get you far in structural dynamics and earthquake engineering should you come face to face with such demons. ω^2 = k/m Of course, the uppercase is …
Matrix powers.. (Page 1) / Help Me ! / Math Is Fun Forum
Feb 3, 2007 · This can be done for every square matrix, since every square matrix over the field C has a Jordan canonical form. We may write an r x r Jordan block J (λ) as λ (I + N (r)), where N (r) is the r x r …
second derivative in multivariable functions (Page 1) / Help Me ...
Oct 27, 2008 · A derivative is a matrix of partials, and if you plug in a point x_0, you get a matrix of real numbers. It is the real numbers which is an element of L (R^n, R^m). This is why the derivative T is a …
Sum of infinite series..... (Page 1) / Help Me ! / Math Is Fun Forum
Oct 8, 2024 · Yes I wanted the finite formula. Like if we want to calculate S5, we will have to add 1+4+9+16+25 but we cant use this if we want to calculate large sum like S100. I need the formula …