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Problem Sheet 4 Null Spaces, Basis, Dimension-Linear Algebra-Assignment

Exercises, Linear Algebra

Post: August 7th, 2012
Description
This course includes introduction and operation on matrices, Cramer rule, eigen values and eigen vector, complex matrices, LU factorization, linear system, vector operations, least square curves. This assignment of problems includes: Null, Space, Subspace, Basis, Dimension, Matrices, Real, Numbers, Nullity, System, Equations
This course includes introduction and operation on matrices, Cramer rule, eigen values and eigen vector, complex matrices, LU factorization, linear system, vector operations, least square curves. This assignment of problems includes: Null, Space, Subspace, Basis, Dimension, Matrices, Real, Numbers, Nullity, System, Equations
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Contents
Problem Sheet # 4 1. Determine if the following sets are subspaces of ? If so, find basis and dimension. { | } i. { | } ii. { | } is 2. Determine if subspace of ? If so, find basis and dimension of W. 3. Find null space of each the following matrices. Also find nullity and basis of each null space. i.  3 6  1 1  7   1  2 2 3  1    2  4 5 8  4   ii. 5 3  8  2 0 3 2  1  12  4 4  5 12   1 1 0 2 12 2 docsity.com ..

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