Problem set 3
... (b) Find the change of basis matrix from B to B 0 = [(1, 2)T , (3, 7)T ]. Find it’s inverse (hint: you’ve already done that in this problem set). (c) Use the first two parts to compute the matrix for F with respect to B 0 . (This is not rigged to have a particularly nice answer.) (8) Let F : P≤1 → P ...
... (b) Find the change of basis matrix from B to B 0 = [(1, 2)T , (3, 7)T ]. Find it’s inverse (hint: you’ve already done that in this problem set). (c) Use the first two parts to compute the matrix for F with respect to B 0 . (This is not rigged to have a particularly nice answer.) (8) Let F : P≤1 → P ...
Differential Equations and Linear Algebra Test #2 Review
... Some problems are from Elementary Differential Equations, Boyce and DiPrima and Linear Algebra and its Applications, Lay. ...
... Some problems are from Elementary Differential Equations, Boyce and DiPrima and Linear Algebra and its Applications, Lay. ...
Math 224 Homework 3 Solutions
... 1.6 #4: Let S = {[x, y] | x, y ≥ 0}. Since [1, 1] is in S, but −1·[1, 1] = [−1, 1] is not in S, we see that S is not closed under scalar multiplication, so S is not a subspace of R2 . 1.6 #8: Let S = {[2x, x+y, y]}. Let v = [2a, a+b, b] and w = [2c, c+d, d] be two vectors in S. Then v +w = [2a+2c, a ...
... 1.6 #4: Let S = {[x, y] | x, y ≥ 0}. Since [1, 1] is in S, but −1·[1, 1] = [−1, 1] is not in S, we see that S is not closed under scalar multiplication, so S is not a subspace of R2 . 1.6 #8: Let S = {[2x, x+y, y]}. Let v = [2a, a+b, b] and w = [2c, c+d, d] be two vectors in S. Then v +w = [2a+2c, a ...
Revision 08/01/06
... idea that matrix multiplication does not work in the same manner as the multiplication of real numbers. The first three foci presented offer a variety of explanations of why addition is involved or why multiplication alone is not a sufficient means of multiplying two matrices. The first focus attem ...
... idea that matrix multiplication does not work in the same manner as the multiplication of real numbers. The first three foci presented offer a variety of explanations of why addition is involved or why multiplication alone is not a sufficient means of multiplying two matrices. The first focus attem ...
Escalogramas multidimensionales
... We cannot find exactly X because there will be many solutions to this problem. IF Q=XX’ also Q=X A A-1 X’ for any orthogonal matrix A. Thus B=XA is also a solution The standard solution: Make the spectral decomposition of the matrix Q ...
... We cannot find exactly X because there will be many solutions to this problem. IF Q=XX’ also Q=X A A-1 X’ for any orthogonal matrix A. Thus B=XA is also a solution The standard solution: Make the spectral decomposition of the matrix Q ...