In Exercises 5 through 40, find the matrix of the given linear transformation T with respect to the given basis. If no basis is specified, use the standard basis: 91 = (1, f, t2) for P2, T (/(f)) = / ( f) from P2 to P2
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M303 Section 1.2 Notes- Row Reduction and Echelon Forms 8-26-16 Elementary row operations- to obtain equivalent systems o Row replacement- replace some row with row + (row ′) for some ℝ; adding a multiple of another row to the row in questio; + ′ o Row swap- ↔ o Scaling- multiply row by nonzero number ; → o DON’T FORGET to do operations to augmented column too o Every operation reversible o 2 matrices and are row equivalent ( ~ ) if can be obtained from via finite sequence of elementary row operations If
Textbook: Linear Algebra with Applications
Author: Otto Bretscher
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