Math 540 assignement 1

Both assignments answers have to be submitted from 20th to 30th May, in the study center. We have written a post regarding how to write assignment answers. I think you have already done your project ofand courses and submit your home assignment at the nios deled Study Center.

Math 540 assignement 1

Thursday, March 7 in class. Tuesday, April 17 in class. Course policy; why linear algebra is great page rank and Fibonacci sequence ; definition of a vector space. Subspaces; sums of spaces; direct products. Linear maps between vector spaces; null spaces and ranges; rank nullity theorem.

Matrices-- sums of matrices, scalar multiples, and matrix multiplication. Products cont'd, quotient vector spaces, linear functionals, dual spaces and dual maps, annihilators, proof that the matrix for a dual map is the transpose of the matrix for the original given fixed bases.

Proof that the row and column ranks of a matrix are equal. Homework 5 assigned Problems of chapter 4due Tuesday, March Midterm 1 Lecture 9: Snow day, classes cancelled.

Proof that every operator on a finite dimensional complex vector space admits an eigenvalue. Re-takes also due next Thurs. Eigenspaces and criteria for diagonalization. Inner product spaces, norms, orthonoormal bases, Graham-Schmidt orthogonalization.

Orthonormal bases cont'd, orthogonal complements. Projection operators, Adjoint operators. The adjoint map; self-adjoint and normal operators.

The real and complex spectral theorems. Positive operators and isometries. Complex conjugation is analogous to taking the adjoint; real numbers analogous to self-adjoint maps; unit circle analogous to isometries; nonnegative real numbers analogous to positive operators.

Math 540 assignement 1

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MSDS Bridge Math Assignment 2 Nick Schettini January 9, Q1.) There are identical plastic chips numbered 1 through in a box. What is the probability of reaching into the box and randomly drawing the chip numbered ?

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