# APPLIED LINEAR ALGEBRA : LINEAR TRANSFORMATION

May 29th, 2015
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1.Define a linear transformation from one vector space to another. For a linear transformation show that . If can we say that ? 2. Determine whether following are linear transformations

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A matrix is a rectangular array of numbers.A vector is a matrix with only one column.The components of a vector are the entries in it.A matrix is in RREF (Reduced Row-Echelon Form) if it satisfies all of the following: If a row has nonzero entries, then the first nonzero entry is 1 (the leading 1 or pivot)If a column contains a leading 1, then all other entries in that column are zero.If a row contains a leading 1, then the each row above it contains a leading 1 further to the leftSystems of linear equations can be solved by the following algorithm:Write the augmented matrix (also c

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